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Finding the Fourth Proportional to 514.23, 772.20 and 432.78

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Solution

The fourth proportional to 514.23, 772.20 and 432.78 is: 649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.23 : 772.20 = 432.78 : x
  2. Step 2: Convert to fraction form
    514.23/772.20 = 432.78/x
  3. Step 3: Cross multiply
    514.23x = 772.20 × 432.78
  4. Step 4: Simplify right side
    514.23x = 334,192.72
  5. Step 5: Solve for x
    x = 334,192.72/514.23
  6. Step 6: Final answer
    x = 649.89

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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.