Home / 1,222.14-1,686.78-724.62

Finding the Fourth Proportional to 1,222.14, 1,686.78 and 724.62

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Solution

The fourth proportional to 1,222.14, 1,686.78 and 724.62 is: 1,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.14 : 1,686.78 = 724.62 : x
  2. Step 2: Convert to fraction form
    1,222.14/1,686.78 = 724.62/x
  3. Step 3: Cross multiply
    1,222.14x = 1,686.78 × 724.62
  4. Step 4: Simplify right side
    1,222.14x = 1,222,274.52
  5. Step 5: Solve for x
    x = 1,222,274.52/1,222.14
  6. Step 6: Final answer
    x = 1,000.11

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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.