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Finding the Fourth Proportional to 1,101.47, 1,649.67 and 865.30

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Solution

The fourth proportional to 1,101.47, 1,649.67 and 865.30 is: 1,295.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.47 : 1,649.67 = 865.30 : x
  2. Step 2: Convert to fraction form
    1,101.47/1,649.67 = 865.30/x
  3. Step 3: Cross multiply
    1,101.47x = 1,649.67 × 865.30
  4. Step 4: Simplify right side
    1,101.47x = 1,427,451.57
  5. Step 5: Solve for x
    x = 1,427,451.57/1,101.47
  6. Step 6: Final answer
    x = 1,295.96

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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.