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Finding the Fourth Proportional to 1,149.75, 1,586.84 and 707.92

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Solution

The fourth proportional to 1,149.75, 1,586.84 and 707.92 is: 977.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.75 : 1,586.84 = 707.92 : x
  2. Step 2: Convert to fraction form
    1,149.75/1,586.84 = 707.92/x
  3. Step 3: Cross multiply
    1,149.75x = 1,586.84 × 707.92
  4. Step 4: Simplify right side
    1,149.75x = 1,123,348.27
  5. Step 5: Solve for x
    x = 1,123,348.27/1,149.75
  6. Step 6: Final answer
    x = 977.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.