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Finding the Fourth Proportional to 1,215.25, 1,822.88 and 445.75

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Solution

The fourth proportional to 1,215.25, 1,822.88 and 445.75 is: 668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.25 : 1,822.88 = 445.75 : x
  2. Step 2: Convert to fraction form
    1,215.25/1,822.88 = 445.75/x
  3. Step 3: Cross multiply
    1,215.25x = 1,822.88 × 445.75
  4. Step 4: Simplify right side
    1,215.25x = 812,548.76
  5. Step 5: Solve for x
    x = 812,548.76/1,215.25
  6. Step 6: Final answer
    x = 668.63

Related Problems

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Half scale
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Double scale
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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.