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Finding the Fourth Proportional to 950.87, 1,312.07 and 557.96

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Solution

The fourth proportional to 950.87, 1,312.07 and 557.96 is: 769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.87 : 1,312.07 = 557.96 : x
  2. Step 2: Convert to fraction form
    950.87/1,312.07 = 557.96/x
  3. Step 3: Cross multiply
    950.87x = 1,312.07 × 557.96
  4. Step 4: Simplify right side
    950.87x = 732,073.23
  5. Step 5: Solve for x
    x = 732,073.23/950.87
  6. Step 6: Final answer
    x = 769.90

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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.