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Finding the Fourth Proportional to 1,222.43, 1,687.20 and 927.20

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Solution

The fourth proportional to 1,222.43, 1,687.20 and 927.20 is: 1,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.43 : 1,687.20 = 927.20 : x
  2. Step 2: Convert to fraction form
    1,222.43/1,687.20 = 927.20/x
  3. Step 3: Cross multiply
    1,222.43x = 1,687.20 × 927.20
  4. Step 4: Simplify right side
    1,222.43x = 1,564,371.84
  5. Step 5: Solve for x
    x = 1,564,371.84/1,222.43
  6. Step 6: Final answer
    x = 1,279.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.