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Finding the Fourth Proportional to 1,654.39, 2,481.94 and 558.71

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Solution

The fourth proportional to 1,654.39, 2,481.94 and 558.71 is: 838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.39 : 2,481.94 = 558.71 : x
  2. Step 2: Convert to fraction form
    1,654.39/2,481.94 = 558.71/x
  3. Step 3: Cross multiply
    1,654.39x = 2,481.94 × 558.71
  4. Step 4: Simplify right side
    1,654.39x = 1,386,672.29
  5. Step 5: Solve for x
    x = 1,386,672.29/1,654.39
  6. Step 6: Final answer
    x = 838.18

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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.