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Finding the Fourth Proportional to 1,072.79, 1,609.17 and 579.42

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Solution

The fourth proportional to 1,072.79, 1,609.17 and 579.42 is: 869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.79 : 1,609.17 = 579.42 : x
  2. Step 2: Convert to fraction form
    1,072.79/1,609.17 = 579.42/x
  3. Step 3: Cross multiply
    1,072.79x = 1,609.17 × 579.42
  4. Step 4: Simplify right side
    1,072.79x = 932,385.28
  5. Step 5: Solve for x
    x = 932,385.28/1,072.79
  6. Step 6: Final answer
    x = 869.13

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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.