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Finding the Fourth Proportional to 1,131.15, 1,694.49 and 886.53

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Solution

The fourth proportional to 1,131.15, 1,694.49 and 886.53 is: 1,328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.15 : 1,694.49 = 886.53 : x
  2. Step 2: Convert to fraction form
    1,131.15/1,694.49 = 886.53/x
  3. Step 3: Cross multiply
    1,131.15x = 1,694.49 × 886.53
  4. Step 4: Simplify right side
    1,131.15x = 1,502,216.22
  5. Step 5: Solve for x
    x = 1,502,216.22/1,131.15
  6. Step 6: Final answer
    x = 1,328.04

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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.