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Finding the Fourth Proportional to 501.71, 753.08 and 306.92

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Solution

The fourth proportional to 501.71, 753.08 and 306.92 is: 460.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.71 : 753.08 = 306.92 : x
  2. Step 2: Convert to fraction form
    501.71/753.08 = 306.92/x
  3. Step 3: Cross multiply
    501.71x = 753.08 × 306.92
  4. Step 4: Simplify right side
    501.71x = 231,135.66
  5. Step 5: Solve for x
    x = 231,135.66/501.71
  6. Step 6: Final answer
    x = 460.70

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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.