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Finding the Fourth Proportional to 698.11, 1,042.26 and 576.61

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Solution

The fourth proportional to 698.11, 1,042.26 and 576.61 is: 860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.11 : 1,042.26 = 576.61 : x
  2. Step 2: Convert to fraction form
    698.11/1,042.26 = 576.61/x
  3. Step 3: Cross multiply
    698.11x = 1,042.26 × 576.61
  4. Step 4: Simplify right side
    698.11x = 600,977.54
  5. Step 5: Solve for x
    x = 600,977.54/698.11
  6. Step 6: Final answer
    x = 860.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.