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Finding the Fourth Proportional to 747.06, 1,031.31 and 467.45

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Solution

The fourth proportional to 747.06, 1,031.31 and 467.45 is: 645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.06 : 1,031.31 = 467.45 : x
  2. Step 2: Convert to fraction form
    747.06/1,031.31 = 467.45/x
  3. Step 3: Cross multiply
    747.06x = 1,031.31 × 467.45
  4. Step 4: Simplify right side
    747.06x = 482,085.86
  5. Step 5: Solve for x
    x = 482,085.86/747.06
  6. Step 6: Final answer
    x = 645.31

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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.