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Finding the Fourth Proportional to 1,138.47, 1,706.25 and 991.59

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Solution

The fourth proportional to 1,138.47, 1,706.25 and 991.59 is: 1,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.47 : 1,706.25 = 991.59 : x
  2. Step 2: Convert to fraction form
    1,138.47/1,706.25 = 991.59/x
  3. Step 3: Cross multiply
    1,138.47x = 1,706.25 × 991.59
  4. Step 4: Simplify right side
    1,138.47x = 1,691,900.44
  5. Step 5: Solve for x
    x = 1,691,900.44/1,138.47
  6. Step 6: Final answer
    x = 1,486.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.