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Finding the Fourth Proportional to 731.23, 1,091.18 and 653.34

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Solution

The fourth proportional to 731.23, 1,091.18 and 653.34 is: 974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.23 : 1,091.18 = 653.34 : x
  2. Step 2: Convert to fraction form
    731.23/1,091.18 = 653.34/x
  3. Step 3: Cross multiply
    731.23x = 1,091.18 × 653.34
  4. Step 4: Simplify right side
    731.23x = 712,917.27
  5. Step 5: Solve for x
    x = 712,917.27/731.23
  6. Step 6: Final answer
    x = 974.96

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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.