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Finding the Fourth Proportional to 773.34, 1,066.95 and 462.66

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Solution

The fourth proportional to 773.34, 1,066.95 and 462.66 is: 638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.34 : 1,066.95 = 462.66 : x
  2. Step 2: Convert to fraction form
    773.34/1,066.95 = 462.66/x
  3. Step 3: Cross multiply
    773.34x = 1,066.95 × 462.66
  4. Step 4: Simplify right side
    773.34x = 493,635.09
  5. Step 5: Solve for x
    x = 493,635.09/773.34
  6. Step 6: Final answer
    x = 638.32

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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.