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Finding the Fourth Proportional to 754.76, 1,132.31 and 408.08

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Solution

The fourth proportional to 754.76, 1,132.31 and 408.08 is: 612.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.76 : 1,132.31 = 408.08 : x
  2. Step 2: Convert to fraction form
    754.76/1,132.31 = 408.08/x
  3. Step 3: Cross multiply
    754.76x = 1,132.31 × 408.08
  4. Step 4: Simplify right side
    754.76x = 462,073.06
  5. Step 5: Solve for x
    x = 462,073.06/754.76
  6. Step 6: Final answer
    x = 612.21

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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.