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Finding the Fourth Proportional to 728.46, 1,097.04 and 638.22

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Solution

The fourth proportional to 728.46, 1,097.04 and 638.22 is: 961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.46 : 1,097.04 = 638.22 : x
  2. Step 2: Convert to fraction form
    728.46/1,097.04 = 638.22/x
  3. Step 3: Cross multiply
    728.46x = 1,097.04 × 638.22
  4. Step 4: Simplify right side
    728.46x = 700,152.87
  5. Step 5: Solve for x
    x = 700,152.87/728.46
  6. Step 6: Final answer
    x = 961.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.