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Finding the Fourth Proportional to 960.26, 1,439.67 and 497.42

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Solution

The fourth proportional to 960.26, 1,439.67 and 497.42 is: 745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.26 : 1,439.67 = 497.42 : x
  2. Step 2: Convert to fraction form
    960.26/1,439.67 = 497.42/x
  3. Step 3: Cross multiply
    960.26x = 1,439.67 × 497.42
  4. Step 4: Simplify right side
    960.26x = 716,120.65
  5. Step 5: Solve for x
    x = 716,120.65/960.26
  6. Step 6: Final answer
    x = 745.76

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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.