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Finding the Fourth Proportional to 960.27, 1,439.26 and 549.69

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Solution

The fourth proportional to 960.27, 1,439.26 and 549.69 is: 823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.27 : 1,439.26 = 549.69 : x
  2. Step 2: Convert to fraction form
    960.27/1,439.26 = 549.69/x
  3. Step 3: Cross multiply
    960.27x = 1,439.26 × 549.69
  4. Step 4: Simplify right side
    960.27x = 791,146.83
  5. Step 5: Solve for x
    x = 791,146.83/960.27
  6. Step 6: Final answer
    x = 823.88

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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.