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Finding the Fourth Proportional to 730.73, 1,008.14 and 468.89

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Solution

The fourth proportional to 730.73, 1,008.14 and 468.89 is: 646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.73 : 1,008.14 = 468.89 : x
  2. Step 2: Convert to fraction form
    730.73/1,008.14 = 468.89/x
  3. Step 3: Cross multiply
    730.73x = 1,008.14 × 468.89
  4. Step 4: Simplify right side
    730.73x = 472,702.90
  5. Step 5: Solve for x
    x = 472,702.90/730.73
  6. Step 6: Final answer
    x = 646.90

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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.