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Finding the Fourth Proportional to 1,398.89, 2,098.21 and 658.32

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Solution

The fourth proportional to 1,398.89, 2,098.21 and 658.32 is: 987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.89 : 2,098.21 = 658.32 : x
  2. Step 2: Convert to fraction form
    1,398.89/2,098.21 = 658.32/x
  3. Step 3: Cross multiply
    1,398.89x = 2,098.21 × 658.32
  4. Step 4: Simplify right side
    1,398.89x = 1,381,298.85
  5. Step 5: Solve for x
    x = 1,381,298.85/1,398.89
  6. Step 6: Final answer
    x = 987.43

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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.