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Finding the Fourth Proportional to 731.85, 1,098.45 and 578.22

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Solution

The fourth proportional to 731.85, 1,098.45 and 578.22 is: 867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.85 : 1,098.45 = 578.22 : x
  2. Step 2: Convert to fraction form
    731.85/1,098.45 = 578.22/x
  3. Step 3: Cross multiply
    731.85x = 1,098.45 × 578.22
  4. Step 4: Simplify right side
    731.85x = 635,145.76
  5. Step 5: Solve for x
    x = 635,145.76/731.85
  6. Step 6: Final answer
    x = 867.86

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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.