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Finding the Fourth Proportional to 943.22, 1,414.84 and 618.52

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Solution

The fourth proportional to 943.22, 1,414.84 and 618.52 is: 927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.22 : 1,414.84 = 618.52 : x
  2. Step 2: Convert to fraction form
    943.22/1,414.84 = 618.52/x
  3. Step 3: Cross multiply
    943.22x = 1,414.84 × 618.52
  4. Step 4: Simplify right side
    943.22x = 875,106.84
  5. Step 5: Solve for x
    x = 875,106.84/943.22
  6. Step 6: Final answer
    x = 927.79

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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.