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Finding the Fourth Proportional to 746.92, 1,031.82 and 617.32

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Solution

The fourth proportional to 746.92, 1,031.82 and 617.32 is: 852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.92 : 1,031.82 = 617.32 : x
  2. Step 2: Convert to fraction form
    746.92/1,031.82 = 617.32/x
  3. Step 3: Cross multiply
    746.92x = 1,031.82 × 617.32
  4. Step 4: Simplify right side
    746.92x = 636,963.12
  5. Step 5: Solve for x
    x = 636,963.12/746.92
  6. Step 6: Final answer
    x = 852.79

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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.