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Finding the Fourth Proportional to 777.71, 1,073.01 and 462.72

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Solution

The fourth proportional to 777.71, 1,073.01 and 462.72 is: 638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.71 : 1,073.01 = 462.72 : x
  2. Step 2: Convert to fraction form
    777.71/1,073.01 = 462.72/x
  3. Step 3: Cross multiply
    777.71x = 1,073.01 × 462.72
  4. Step 4: Simplify right side
    777.71x = 496,508.95
  5. Step 5: Solve for x
    x = 496,508.95/777.71
  6. Step 6: Final answer
    x = 638.42

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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.