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Finding the Fourth Proportional to 1,582.24, 2,372.92 and 658.04

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Solution

The fourth proportional to 1,582.24, 2,372.92 and 658.04 is: 986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.24 : 2,372.92 = 658.04 : x
  2. Step 2: Convert to fraction form
    1,582.24/2,372.92 = 658.04/x
  3. Step 3: Cross multiply
    1,582.24x = 2,372.92 × 658.04
  4. Step 4: Simplify right side
    1,582.24x = 1,561,476.28
  5. Step 5: Solve for x
    x = 1,561,476.28/1,582.24
  6. Step 6: Final answer
    x = 986.88

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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.