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Finding the Fourth Proportional to 698.65, 1,046.41 and 543.38

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Solution

The fourth proportional to 698.65, 1,046.41 and 543.38 is: 813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.65 : 1,046.41 = 543.38 : x
  2. Step 2: Convert to fraction form
    698.65/1,046.41 = 543.38/x
  3. Step 3: Cross multiply
    698.65x = 1,046.41 × 543.38
  4. Step 4: Simplify right side
    698.65x = 568,591.68
  5. Step 5: Solve for x
    x = 568,591.68/698.65
  6. Step 6: Final answer
    x = 813.85

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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.