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Finding the Fourth Proportional to 754.90, 1,132.14 and 206.95

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Solution

The fourth proportional to 754.90, 1,132.14 and 206.95 is: 310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.90 : 1,132.14 = 206.95 : x
  2. Step 2: Convert to fraction form
    754.90/1,132.14 = 206.95/x
  3. Step 3: Cross multiply
    754.90x = 1,132.14 × 206.95
  4. Step 4: Simplify right side
    754.90x = 234,295.86
  5. Step 5: Solve for x
    x = 234,295.86/754.90
  6. Step 6: Final answer
    x = 310.37

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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.