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Finding the Fourth Proportional to 773.02, 1,065.99 and 462.70

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Solution

The fourth proportional to 773.02, 1,065.99 and 462.70 is: 638.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.02 : 1,065.99 = 462.70 : x
  2. Step 2: Convert to fraction form
    773.02/1,065.99 = 462.70/x
  3. Step 3: Cross multiply
    773.02x = 1,065.99 × 462.70
  4. Step 4: Simplify right side
    773.02x = 493,233.57
  5. Step 5: Solve for x
    x = 493,233.57/773.02
  6. Step 6: Final answer
    x = 638.06

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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.