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Finding the Fourth Proportional to 748.65, 1,117.30 and 725.97

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Solution

The fourth proportional to 748.65, 1,117.30 and 725.97 is: 1,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.65 : 1,117.30 = 725.97 : x
  2. Step 2: Convert to fraction form
    748.65/1,117.30 = 725.97/x
  3. Step 3: Cross multiply
    748.65x = 1,117.30 × 725.97
  4. Step 4: Simplify right side
    748.65x = 811,124.47
  5. Step 5: Solve for x
    x = 811,124.47/748.65
  6. Step 6: Final answer
    x = 1,083.45

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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.