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Finding the Fourth Proportional to 754.22, 1,131.66 and 407.15

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Solution

The fourth proportional to 754.22, 1,131.66 and 407.15 is: 610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.22 : 1,131.66 = 407.15 : x
  2. Step 2: Convert to fraction form
    754.22/1,131.66 = 407.15/x
  3. Step 3: Cross multiply
    754.22x = 1,131.66 × 407.15
  4. Step 4: Simplify right side
    754.22x = 460,755.37
  5. Step 5: Solve for x
    x = 460,755.37/754.22
  6. Step 6: Final answer
    x = 610.90

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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.