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Finding the Fourth Proportional to 731.83, 1,092.19 and 702.06

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Solution

The fourth proportional to 731.83, 1,092.19 and 702.06 is: 1,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.83 : 1,092.19 = 702.06 : x
  2. Step 2: Convert to fraction form
    731.83/1,092.19 = 702.06/x
  3. Step 3: Cross multiply
    731.83x = 1,092.19 × 702.06
  4. Step 4: Simplify right side
    731.83x = 766,783.79
  5. Step 5: Solve for x
    x = 766,783.79/731.83
  6. Step 6: Final answer
    x = 1,047.77

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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.