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Finding the Fourth Proportional to 1,072.92, 1,609.98 and 586.11

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Solution

The fourth proportional to 1,072.92, 1,609.98 and 586.11 is: 879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.92 : 1,609.98 = 586.11 : x
  2. Step 2: Convert to fraction form
    1,072.92/1,609.98 = 586.11/x
  3. Step 3: Cross multiply
    1,072.92x = 1,609.98 × 586.11
  4. Step 4: Simplify right side
    1,072.92x = 943,625.38
  5. Step 5: Solve for x
    x = 943,625.38/1,072.92
  6. Step 6: Final answer
    x = 879.49

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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.