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Finding the Fourth Proportional to 1,115.73, 1,541.16 and 959.94

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Solution

The fourth proportional to 1,115.73, 1,541.16 and 959.94 is: 1,325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.73 : 1,541.16 = 959.94 : x
  2. Step 2: Convert to fraction form
    1,115.73/1,541.16 = 959.94/x
  3. Step 3: Cross multiply
    1,115.73x = 1,541.16 × 959.94
  4. Step 4: Simplify right side
    1,115.73x = 1,479,421.13
  5. Step 5: Solve for x
    x = 1,479,421.13/1,115.73
  6. Step 6: Final answer
    x = 1,325.97

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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.