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Finding the Fourth Proportional to 2,389.97, 3,584.86 and 658.55

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Solution

The fourth proportional to 2,389.97, 3,584.86 and 658.55 is: 987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.97 : 3,584.86 = 658.55 : x
  2. Step 2: Convert to fraction form
    2,389.97/3,584.86 = 658.55/x
  3. Step 3: Cross multiply
    2,389.97x = 3,584.86 × 658.55
  4. Step 4: Simplify right side
    2,389.97x = 2,360,789.98
  5. Step 5: Solve for x
    x = 2,360,789.98/2,389.97
  6. Step 6: Final answer
    x = 987.79

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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.