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Finding the Fourth Proportional to 960.42, 1,439.82 and 549.76

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Solution

The fourth proportional to 960.42, 1,439.82 and 549.76 is: 824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.42 : 1,439.82 = 549.76 : x
  2. Step 2: Convert to fraction form
    960.42/1,439.82 = 549.76/x
  3. Step 3: Cross multiply
    960.42x = 1,439.82 × 549.76
  4. Step 4: Simplify right side
    960.42x = 791,555.44
  5. Step 5: Solve for x
    x = 791,555.44/960.42
  6. Step 6: Final answer
    x = 824.18

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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.