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Finding the Fourth Proportional to 731.89, 1,091.82 and 707.19

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Solution

The fourth proportional to 731.89, 1,091.82 and 707.19 is: 1,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.89 : 1,091.82 = 707.19 : x
  2. Step 2: Convert to fraction form
    731.89/1,091.82 = 707.19/x
  3. Step 3: Cross multiply
    731.89x = 1,091.82 × 707.19
  4. Step 4: Simplify right side
    731.89x = 772,124.19
  5. Step 5: Solve for x
    x = 772,124.19/731.89
  6. Step 6: Final answer
    x = 1,054.97

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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.