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Finding the Fourth Proportional to 1,141.38, 1,712.67 and 411.06

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Solution

The fourth proportional to 1,141.38, 1,712.67 and 411.06 is: 616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.38 : 1,712.67 = 411.06 : x
  2. Step 2: Convert to fraction form
    1,141.38/1,712.67 = 411.06/x
  3. Step 3: Cross multiply
    1,141.38x = 1,712.67 × 411.06
  4. Step 4: Simplify right side
    1,141.38x = 704,010.13
  5. Step 5: Solve for x
    x = 704,010.13/1,141.38
  6. Step 6: Final answer
    x = 616.81

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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.