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Finding the Fourth Proportional to 960.58, 1,439.49 and 549.85

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Solution

The fourth proportional to 960.58, 1,439.49 and 549.85 is: 823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.58 : 1,439.49 = 549.85 : x
  2. Step 2: Convert to fraction form
    960.58/1,439.49 = 549.85/x
  3. Step 3: Cross multiply
    960.58x = 1,439.49 × 549.85
  4. Step 4: Simplify right side
    960.58x = 791,503.58
  5. Step 5: Solve for x
    x = 791,503.58/960.58
  6. Step 6: Final answer
    x = 823.99

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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.