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Finding the Fourth Proportional to 1,142.31, 1,716.20 and 732.25

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Solution

The fourth proportional to 1,142.31, 1,716.20 and 732.25 is: 1,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.31 : 1,716.20 = 732.25 : x
  2. Step 2: Convert to fraction form
    1,142.31/1,716.20 = 732.25/x
  3. Step 3: Cross multiply
    1,142.31x = 1,716.20 × 732.25
  4. Step 4: Simplify right side
    1,142.31x = 1,256,687.45
  5. Step 5: Solve for x
    x = 1,256,687.45/1,142.31
  6. Step 6: Final answer
    x = 1,100.13

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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.