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Finding the Fourth Proportional to 944.06, 1,415.78 and 614.79

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Solution

The fourth proportional to 944.06, 1,415.78 and 614.79 is: 921.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.06 : 1,415.78 = 614.79 : x
  2. Step 2: Convert to fraction form
    944.06/1,415.78 = 614.79/x
  3. Step 3: Cross multiply
    944.06x = 1,415.78 × 614.79
  4. Step 4: Simplify right side
    944.06x = 870,414.23
  5. Step 5: Solve for x
    x = 870,414.23/944.06
  6. Step 6: Final answer
    x = 921.99

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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.