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Finding the Fourth Proportional to 2,454.53, 3,682.25 and 812.23

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Solution

The fourth proportional to 2,454.53, 3,682.25 and 812.23 is: 1,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.53 : 3,682.25 = 812.23 : x
  2. Step 2: Convert to fraction form
    2,454.53/3,682.25 = 812.23/x
  3. Step 3: Cross multiply
    2,454.53x = 3,682.25 × 812.23
  4. Step 4: Simplify right side
    2,454.53x = 2,990,822.55
  5. Step 5: Solve for x
    x = 2,990,822.55/2,454.53
  6. Step 6: Final answer
    x = 1,218.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,455.53, 3,683.75 and 813.23
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.