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Finding the Fourth Proportional to 1,166.11, 1,605.09 and 1,010.59

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Solution

The fourth proportional to 1,166.11, 1,605.09 and 1,010.59 is: 1,391.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.11 : 1,605.09 = 1,010.59 : x
  2. Step 2: Convert to fraction form
    1,166.11/1,605.09 = 1,010.59/x
  3. Step 3: Cross multiply
    1,166.11x = 1,605.09 × 1,010.59
  4. Step 4: Simplify right side
    1,166.11x = 1,622,087.90
  5. Step 5: Solve for x
    x = 1,622,087.90/1,166.11
  6. Step 6: Final answer
    x = 1,391.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.