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Finding the Fourth Proportional to 731.06, 1,090.41 and 614.15

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Solution

The fourth proportional to 731.06, 1,090.41 and 614.15 is: 916.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.06 : 1,090.41 = 614.15 : x
  2. Step 2: Convert to fraction form
    731.06/1,090.41 = 614.15/x
  3. Step 3: Cross multiply
    731.06x = 1,090.41 × 614.15
  4. Step 4: Simplify right side
    731.06x = 669,669.85
  5. Step 5: Solve for x
    x = 669,669.85/731.06
  6. Step 6: Final answer
    x = 916.03

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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.