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Finding the Fourth Proportional to 754.39, 1,131.28 and 315.35

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Solution

The fourth proportional to 754.39, 1,131.28 and 315.35 is: 472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.39 : 1,131.28 = 315.35 : x
  2. Step 2: Convert to fraction form
    754.39/1,131.28 = 315.35/x
  3. Step 3: Cross multiply
    754.39x = 1,131.28 × 315.35
  4. Step 4: Simplify right side
    754.39x = 356,748.36
  5. Step 5: Solve for x
    x = 356,748.36/754.39
  6. Step 6: Final answer
    x = 472.90

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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.