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Finding the Fourth Proportional to 950.70, 1,423.59 and 868.08

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Solution

The fourth proportional to 950.70, 1,423.59 and 868.08 is: 1,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.70 : 1,423.59 = 868.08 : x
  2. Step 2: Convert to fraction form
    950.70/1,423.59 = 868.08/x
  3. Step 3: Cross multiply
    950.70x = 1,423.59 × 868.08
  4. Step 4: Simplify right side
    950.70x = 1,235,790.01
  5. Step 5: Solve for x
    x = 1,235,790.01/950.70
  6. Step 6: Final answer
    x = 1,299.87

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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.