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Finding the Fourth Proportional to 732.78, 1,099.77 and 656.23

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Solution

The fourth proportional to 732.78, 1,099.77 and 656.23 is: 984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.78 : 1,099.77 = 656.23 : x
  2. Step 2: Convert to fraction form
    732.78/1,099.77 = 656.23/x
  3. Step 3: Cross multiply
    732.78x = 1,099.77 × 656.23
  4. Step 4: Simplify right side
    732.78x = 721,702.07
  5. Step 5: Solve for x
    x = 721,702.07/732.78
  6. Step 6: Final answer
    x = 984.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.