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Finding the Fourth Proportional to 698.55, 1,047.92 and 229.87

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Solution

The fourth proportional to 698.55, 1,047.92 and 229.87 is: 344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.55 : 1,047.92 = 229.87 : x
  2. Step 2: Convert to fraction form
    698.55/1,047.92 = 229.87/x
  3. Step 3: Cross multiply
    698.55x = 1,047.92 × 229.87
  4. Step 4: Simplify right side
    698.55x = 240,884.86
  5. Step 5: Solve for x
    x = 240,884.86/698.55
  6. Step 6: Final answer
    x = 344.83

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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.