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Finding the Fourth Proportional to 731.47, 1,091.99 and 705.84

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Solution

The fourth proportional to 731.47, 1,091.99 and 705.84 is: 1,053.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.47 : 1,091.99 = 705.84 : x
  2. Step 2: Convert to fraction form
    731.47/1,091.99 = 705.84/x
  3. Step 3: Cross multiply
    731.47x = 1,091.99 × 705.84
  4. Step 4: Simplify right side
    731.47x = 770,770.22
  5. Step 5: Solve for x
    x = 770,770.22/731.47
  6. Step 6: Final answer
    x = 1,053.73

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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.