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Finding the Fourth Proportional to 680.27, 938.43 and 530.62

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Solution

The fourth proportional to 680.27, 938.43 and 530.62 is: 731.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.27 : 938.43 = 530.62 : x
  2. Step 2: Convert to fraction form
    680.27/938.43 = 530.62/x
  3. Step 3: Cross multiply
    680.27x = 938.43 × 530.62
  4. Step 4: Simplify right side
    680.27x = 497,945.39
  5. Step 5: Solve for x
    x = 497,945.39/680.27
  6. Step 6: Final answer
    x = 731.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.