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Finding the Fourth Proportional to 960.16, 1,438.08 and 672.88

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Solution

The fourth proportional to 960.16, 1,438.08 and 672.88 is: 1,007.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.16 : 1,438.08 = 672.88 : x
  2. Step 2: Convert to fraction form
    960.16/1,438.08 = 672.88/x
  3. Step 3: Cross multiply
    960.16x = 1,438.08 × 672.88
  4. Step 4: Simplify right side
    960.16x = 967,655.27
  5. Step 5: Solve for x
    x = 967,655.27/960.16
  6. Step 6: Final answer
    x = 1,007.81

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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.