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Finding the Fourth Proportional to 988.43, 1,363.97 and 767.57

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Solution

The fourth proportional to 988.43, 1,363.97 and 767.57 is: 1,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.43 : 1,363.97 = 767.57 : x
  2. Step 2: Convert to fraction form
    988.43/1,363.97 = 767.57/x
  3. Step 3: Cross multiply
    988.43x = 1,363.97 × 767.57
  4. Step 4: Simplify right side
    988.43x = 1,046,937.55
  5. Step 5: Solve for x
    x = 1,046,937.55/988.43
  6. Step 6: Final answer
    x = 1,059.20

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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.