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Finding the Fourth Proportional to 731.52, 1,090.11 and 711.47

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Solution

The fourth proportional to 731.52, 1,090.11 and 711.47 is: 1,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.52 : 1,090.11 = 711.47 : x
  2. Step 2: Convert to fraction form
    731.52/1,090.11 = 711.47/x
  3. Step 3: Cross multiply
    731.52x = 1,090.11 × 711.47
  4. Step 4: Simplify right side
    731.52x = 775,580.42
  5. Step 5: Solve for x
    x = 775,580.42/731.52
  6. Step 6: Final answer
    x = 1,060.23

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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.