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Finding the Fourth Proportional to 698.09, 1,042.20 and 588.74

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Solution

The fourth proportional to 698.09, 1,042.20 and 588.74 is: 878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.09 : 1,042.20 = 588.74 : x
  2. Step 2: Convert to fraction form
    698.09/1,042.20 = 588.74/x
  3. Step 3: Cross multiply
    698.09x = 1,042.20 × 588.74
  4. Step 4: Simplify right side
    698.09x = 613,579.62
  5. Step 5: Solve for x
    x = 613,579.62/698.09
  6. Step 6: Final answer
    x = 878.95

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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.