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Finding the Fourth Proportional to 754.61, 1,132.11 and 315.79

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Solution

The fourth proportional to 754.61, 1,132.11 and 315.79 is: 473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.61 : 1,132.11 = 315.79 : x
  2. Step 2: Convert to fraction form
    754.61/1,132.11 = 315.79/x
  3. Step 3: Cross multiply
    754.61x = 1,132.11 × 315.79
  4. Step 4: Simplify right side
    754.61x = 357,506.19
  5. Step 5: Solve for x
    x = 357,506.19/754.61
  6. Step 6: Final answer
    x = 473.76

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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.