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Finding the Fourth Proportional to 762.49, 1,138.04 and 657.91

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Solution

The fourth proportional to 762.49, 1,138.04 and 657.91 is: 981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.49 : 1,138.04 = 657.91 : x
  2. Step 2: Convert to fraction form
    762.49/1,138.04 = 657.91/x
  3. Step 3: Cross multiply
    762.49x = 1,138.04 × 657.91
  4. Step 4: Simplify right side
    762.49x = 748,727.90
  5. Step 5: Solve for x
    x = 748,727.90/762.49
  6. Step 6: Final answer
    x = 981.95

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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.