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Finding the Fourth Proportional to 742.29, 1,023.87 and 476.79

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Solution

The fourth proportional to 742.29, 1,023.87 and 476.79 is: 657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.29 : 1,023.87 = 476.79 : x
  2. Step 2: Convert to fraction form
    742.29/1,023.87 = 476.79/x
  3. Step 3: Cross multiply
    742.29x = 1,023.87 × 476.79
  4. Step 4: Simplify right side
    742.29x = 488,170.98
  5. Step 5: Solve for x
    x = 488,170.98/742.29
  6. Step 6: Final answer
    x = 657.66

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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.