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Finding the Fourth Proportional to 960.42, 1,440.65 and 412.61

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Solution

The fourth proportional to 960.42, 1,440.65 and 412.61 is: 618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.42 : 1,440.65 = 412.61 : x
  2. Step 2: Convert to fraction form
    960.42/1,440.65 = 412.61/x
  3. Step 3: Cross multiply
    960.42x = 1,440.65 × 412.61
  4. Step 4: Simplify right side
    960.42x = 594,417.33
  5. Step 5: Solve for x
    x = 594,417.33/960.42
  6. Step 6: Final answer
    x = 618.91

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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.