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Finding the Fourth Proportional to 732.77, 1,091.99 and 731.55

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Solution

The fourth proportional to 732.77, 1,091.99 and 731.55 is: 1,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.77 : 1,091.99 = 731.55 : x
  2. Step 2: Convert to fraction form
    732.77/1,091.99 = 731.55/x
  3. Step 3: Cross multiply
    732.77x = 1,091.99 × 731.55
  4. Step 4: Simplify right side
    732.77x = 798,845.28
  5. Step 5: Solve for x
    x = 798,845.28/732.77
  6. Step 6: Final answer
    x = 1,090.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.