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Finding the Fourth Proportional to 1,275.17, 1,758.11 and 854.85

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Solution

The fourth proportional to 1,275.17, 1,758.11 and 854.85 is: 1,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.17 : 1,758.11 = 854.85 : x
  2. Step 2: Convert to fraction form
    1,275.17/1,758.11 = 854.85/x
  3. Step 3: Cross multiply
    1,275.17x = 1,758.11 × 854.85
  4. Step 4: Simplify right side
    1,275.17x = 1,502,922.65
  5. Step 5: Solve for x
    x = 1,502,922.65/1,275.17
  6. Step 6: Final answer
    x = 1,178.61

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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.