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Finding the Fourth Proportional to 1,244.97, 1,864.42 and 658.94

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Solution

The fourth proportional to 1,244.97, 1,864.42 and 658.94 is: 986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.97 : 1,864.42 = 658.94 : x
  2. Step 2: Convert to fraction form
    1,244.97/1,864.42 = 658.94/x
  3. Step 3: Cross multiply
    1,244.97x = 1,864.42 × 658.94
  4. Step 4: Simplify right side
    1,244.97x = 1,228,529.95
  5. Step 5: Solve for x
    x = 1,228,529.95/1,244.97
  6. Step 6: Final answer
    x = 986.79

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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.