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Finding the Fourth Proportional to 1,154.61, 1,593.20 and 734.22

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Solution

The fourth proportional to 1,154.61, 1,593.20 and 734.22 is: 1,013.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.61 : 1,593.20 = 734.22 : x
  2. Step 2: Convert to fraction form
    1,154.61/1,593.20 = 734.22/x
  3. Step 3: Cross multiply
    1,154.61x = 1,593.20 × 734.22
  4. Step 4: Simplify right side
    1,154.61x = 1,169,761.14
  5. Step 5: Solve for x
    x = 1,169,761.14/1,154.61
  6. Step 6: Final answer
    x = 1,013.12

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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.