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Finding the Fourth Proportional to 960.68, 1,440.90 and 498.20

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Solution

The fourth proportional to 960.68, 1,440.90 and 498.20 is: 747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.68 : 1,440.90 = 498.20 : x
  2. Step 2: Convert to fraction form
    960.68/1,440.90 = 498.20/x
  3. Step 3: Cross multiply
    960.68x = 1,440.90 × 498.20
  4. Step 4: Simplify right side
    960.68x = 717,856.38
  5. Step 5: Solve for x
    x = 717,856.38/960.68
  6. Step 6: Final answer
    x = 747.24

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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.