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Finding the Fourth Proportional to 748.92, 1,118.46 and 638.04

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Solution

The fourth proportional to 748.92, 1,118.46 and 638.04 is: 952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.92 : 1,118.46 = 638.04 : x
  2. Step 2: Convert to fraction form
    748.92/1,118.46 = 638.04/x
  3. Step 3: Cross multiply
    748.92x = 1,118.46 × 638.04
  4. Step 4: Simplify right side
    748.92x = 713,622.22
  5. Step 5: Solve for x
    x = 713,622.22/748.92
  6. Step 6: Final answer
    x = 952.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.