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Finding the Fourth Proportional to 747.92, 1,032.45 and 468.09

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Solution

The fourth proportional to 747.92, 1,032.45 and 468.09 is: 646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.92 : 1,032.45 = 468.09 : x
  2. Step 2: Convert to fraction form
    747.92/1,032.45 = 468.09/x
  3. Step 3: Cross multiply
    747.92x = 1,032.45 × 468.09
  4. Step 4: Simplify right side
    747.92x = 483,279.22
  5. Step 5: Solve for x
    x = 483,279.22/747.92
  6. Step 6: Final answer
    x = 646.17

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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.