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Finding the Fourth Proportional to 1,160.89, 1,732.51 and 1,083.13

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Solution

The fourth proportional to 1,160.89, 1,732.51 and 1,083.13 is: 1,616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.89 : 1,732.51 = 1,083.13 : x
  2. Step 2: Convert to fraction form
    1,160.89/1,732.51 = 1,083.13/x
  3. Step 3: Cross multiply
    1,160.89x = 1,732.51 × 1,083.13
  4. Step 4: Simplify right side
    1,160.89x = 1,876,536.26
  5. Step 5: Solve for x
    x = 1,876,536.26/1,160.89
  6. Step 6: Final answer
    x = 1,616.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.