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Finding the Fourth Proportional to 950.52, 1,311.75 and 557.58

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Solution

The fourth proportional to 950.52, 1,311.75 and 557.58 is: 769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.52 : 1,311.75 = 557.58 : x
  2. Step 2: Convert to fraction form
    950.52/1,311.75 = 557.58/x
  3. Step 3: Cross multiply
    950.52x = 1,311.75 × 557.58
  4. Step 4: Simplify right side
    950.52x = 731,405.57
  5. Step 5: Solve for x
    x = 731,405.57/950.52
  6. Step 6: Final answer
    x = 769.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.