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Finding the Fourth Proportional to 777.65, 1,073.38 and 462.81

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Solution

The fourth proportional to 777.65, 1,073.38 and 462.81 is: 638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.65 : 1,073.38 = 462.81 : x
  2. Step 2: Convert to fraction form
    777.65/1,073.38 = 462.81/x
  3. Step 3: Cross multiply
    777.65x = 1,073.38 × 462.81
  4. Step 4: Simplify right side
    777.65x = 496,773.43
  5. Step 5: Solve for x
    x = 496,773.43/777.65
  6. Step 6: Final answer
    x = 638.81

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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.