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Finding the Fourth Proportional to 754.58, 1,131.33 and 291.96

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Solution

The fourth proportional to 754.58, 1,131.33 and 291.96 is: 437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.58 : 1,131.33 = 291.96 : x
  2. Step 2: Convert to fraction form
    754.58/1,131.33 = 291.96/x
  3. Step 3: Cross multiply
    754.58x = 1,131.33 × 291.96
  4. Step 4: Simplify right side
    754.58x = 330,306.25
  5. Step 5: Solve for x
    x = 330,306.25/754.58
  6. Step 6: Final answer
    x = 437.74

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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.