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Finding the Fourth Proportional to 754.87, 1,132.15 and 292.65

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Solution

The fourth proportional to 754.87, 1,132.15 and 292.65 is: 438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.87 : 1,132.15 = 292.65 : x
  2. Step 2: Convert to fraction form
    754.87/1,132.15 = 292.65/x
  3. Step 3: Cross multiply
    754.87x = 1,132.15 × 292.65
  4. Step 4: Simplify right side
    754.87x = 331,323.70
  5. Step 5: Solve for x
    x = 331,323.70/754.87
  6. Step 6: Final answer
    x = 438.91

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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.