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Finding the Fourth Proportional to 960.72, 1,440.18 and 875.13

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Solution

The fourth proportional to 960.72, 1,440.18 and 875.13 is: 1,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.72 : 1,440.18 = 875.13 : x
  2. Step 2: Convert to fraction form
    960.72/1,440.18 = 875.13/x
  3. Step 3: Cross multiply
    960.72x = 1,440.18 × 875.13
  4. Step 4: Simplify right side
    960.72x = 1,260,333.15
  5. Step 5: Solve for x
    x = 1,260,333.15/960.72
  6. Step 6: Final answer
    x = 1,311.86

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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.