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Finding the Fourth Proportional to 944.40, 1,418.22 and 512.40

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Solution

The fourth proportional to 944.40, 1,418.22 and 512.40 is: 769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.40 : 1,418.22 = 512.40 : x
  2. Step 2: Convert to fraction form
    944.40/1,418.22 = 512.40/x
  3. Step 3: Cross multiply
    944.40x = 1,418.22 × 512.40
  4. Step 4: Simplify right side
    944.40x = 726,695.93
  5. Step 5: Solve for x
    x = 726,695.93/944.40
  6. Step 6: Final answer
    x = 769.48

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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.