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Finding the Fourth Proportional to 950.05, 1,311.15 and 557.20

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Solution

The fourth proportional to 950.05, 1,311.15 and 557.20 is: 768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.05 : 1,311.15 = 557.20 : x
  2. Step 2: Convert to fraction form
    950.05/1,311.15 = 557.20/x
  3. Step 3: Cross multiply
    950.05x = 1,311.15 × 557.20
  4. Step 4: Simplify right side
    950.05x = 730,572.78
  5. Step 5: Solve for x
    x = 730,572.78/950.05
  6. Step 6: Final answer
    x = 768.98

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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.