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Finding the Fourth Proportional to 1,338.38, 2,006.71 and 558.92

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Solution

The fourth proportional to 1,338.38, 2,006.71 and 558.92 is: 838.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.38 : 2,006.71 = 558.92 : x
  2. Step 2: Convert to fraction form
    1,338.38/2,006.71 = 558.92/x
  3. Step 3: Cross multiply
    1,338.38x = 2,006.71 × 558.92
  4. Step 4: Simplify right side
    1,338.38x = 1,121,590.35
  5. Step 5: Solve for x
    x = 1,121,590.35/1,338.38
  6. Step 6: Final answer
    x = 838.02

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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.