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Finding the Fourth Proportional to 742.77, 1,024.58 and 477.12

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Solution

The fourth proportional to 742.77, 1,024.58 and 477.12 is: 658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.77 : 1,024.58 = 477.12 : x
  2. Step 2: Convert to fraction form
    742.77/1,024.58 = 477.12/x
  3. Step 3: Cross multiply
    742.77x = 1,024.58 × 477.12
  4. Step 4: Simplify right side
    742.77x = 488,845.22
  5. Step 5: Solve for x
    x = 488,845.22/742.77
  6. Step 6: Final answer
    x = 658.14

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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.