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Finding the Fourth Proportional to 822.53, 1,233.79 and 411.25

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Solution

The fourth proportional to 822.53, 1,233.79 and 411.25 is: 616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.53 : 1,233.79 = 411.25 : x
  2. Step 2: Convert to fraction form
    822.53/1,233.79 = 411.25/x
  3. Step 3: Cross multiply
    822.53x = 1,233.79 × 411.25
  4. Step 4: Simplify right side
    822.53x = 507,396.14
  5. Step 5: Solve for x
    x = 507,396.14/822.53
  6. Step 6: Final answer
    x = 616.88

Related Problems

Find fourth proportional to 411.26, 616.90 and 205.63
Half scale
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Double scale
Find fourth proportional to 823.53, 1,235.29 and 412.25
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.