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Finding the Fourth Proportional to 728.32, 1,007.72 and 635.26

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Solution

The fourth proportional to 728.32, 1,007.72 and 635.26 is: 878.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.32 : 1,007.72 = 635.26 : x
  2. Step 2: Convert to fraction form
    728.32/1,007.72 = 635.26/x
  3. Step 3: Cross multiply
    728.32x = 1,007.72 × 635.26
  4. Step 4: Simplify right side
    728.32x = 640,164.21
  5. Step 5: Solve for x
    x = 640,164.21/728.32
  6. Step 6: Final answer
    x = 878.96

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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.