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Finding the Fourth Proportional to 960.40, 1,442.91 and 614.41

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Solution

The fourth proportional to 960.40, 1,442.91 and 614.41 is: 923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.40 : 1,442.91 = 614.41 : x
  2. Step 2: Convert to fraction form
    960.40/1,442.91 = 614.41/x
  3. Step 3: Cross multiply
    960.40x = 1,442.91 × 614.41
  4. Step 4: Simplify right side
    960.40x = 886,537.20
  5. Step 5: Solve for x
    x = 886,537.20/960.40
  6. Step 6: Final answer
    x = 923.09

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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.