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Finding the Fourth Proportional to 698.11, 1,045.61 and 543.79

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Solution

The fourth proportional to 698.11, 1,045.61 and 543.79 is: 814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.11 : 1,045.61 = 543.79 : x
  2. Step 2: Convert to fraction form
    698.11/1,045.61 = 543.79/x
  3. Step 3: Cross multiply
    698.11x = 1,045.61 × 543.79
  4. Step 4: Simplify right side
    698.11x = 568,589.54
  5. Step 5: Solve for x
    x = 568,589.54/698.11
  6. Step 6: Final answer
    x = 814.47

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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.