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Finding the Fourth Proportional to 731.78, 1,092.46 and 706.15

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Solution

The fourth proportional to 731.78, 1,092.46 and 706.15 is: 1,054.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.78 : 1,092.46 = 706.15 : x
  2. Step 2: Convert to fraction form
    731.78/1,092.46 = 706.15/x
  3. Step 3: Cross multiply
    731.78x = 1,092.46 × 706.15
  4. Step 4: Simplify right side
    731.78x = 771,436.13
  5. Step 5: Solve for x
    x = 771,436.13/731.78
  6. Step 6: Final answer
    x = 1,054.19

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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.