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Finding the Fourth Proportional to 1,149.65, 1,586.41 and 645.39

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Solution

The fourth proportional to 1,149.65, 1,586.41 and 645.39 is: 890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.65 : 1,586.41 = 645.39 : x
  2. Step 2: Convert to fraction form
    1,149.65/1,586.41 = 645.39/x
  3. Step 3: Cross multiply
    1,149.65x = 1,586.41 × 645.39
  4. Step 4: Simplify right side
    1,149.65x = 1,023,843.97
  5. Step 5: Solve for x
    x = 1,023,843.97/1,149.65
  6. Step 6: Final answer
    x = 890.57

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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.