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Finding the Fourth Proportional to 729.47, 1,006.91 and 464.09

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Solution

The fourth proportional to 729.47, 1,006.91 and 464.09 is: 640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.47 : 1,006.91 = 464.09 : x
  2. Step 2: Convert to fraction form
    729.47/1,006.91 = 464.09/x
  3. Step 3: Cross multiply
    729.47x = 1,006.91 × 464.09
  4. Step 4: Simplify right side
    729.47x = 467,296.86
  5. Step 5: Solve for x
    x = 467,296.86/729.47
  6. Step 6: Final answer
    x = 640.60

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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.