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Finding the Fourth Proportional to 1,131.74, 1,689.87 and 1,013.85

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Solution

The fourth proportional to 1,131.74, 1,689.87 and 1,013.85 is: 1,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.74 : 1,689.87 = 1,013.85 : x
  2. Step 2: Convert to fraction form
    1,131.74/1,689.87 = 1,013.85/x
  3. Step 3: Cross multiply
    1,131.74x = 1,689.87 × 1,013.85
  4. Step 4: Simplify right side
    1,131.74x = 1,713,275.65
  5. Step 5: Solve for x
    x = 1,713,275.65/1,131.74
  6. Step 6: Final answer
    x = 1,513.84

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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.