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Finding the Fourth Proportional to 1,609.92, 2,414.43 and 569.79

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Solution

The fourth proportional to 1,609.92, 2,414.43 and 569.79 is: 854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.92 : 2,414.43 = 569.79 : x
  2. Step 2: Convert to fraction form
    1,609.92/2,414.43 = 569.79/x
  3. Step 3: Cross multiply
    1,609.92x = 2,414.43 × 569.79
  4. Step 4: Simplify right side
    1,609.92x = 1,375,710.69
  5. Step 5: Solve for x
    x = 1,375,710.69/1,609.92
  6. Step 6: Final answer
    x = 854.52

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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.