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Finding the Fourth Proportional to 1,344.12, 1,854.78 and 820.08

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Solution

The fourth proportional to 1,344.12, 1,854.78 and 820.08 is: 1,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.12 : 1,854.78 = 820.08 : x
  2. Step 2: Convert to fraction form
    1,344.12/1,854.78 = 820.08/x
  3. Step 3: Cross multiply
    1,344.12x = 1,854.78 × 820.08
  4. Step 4: Simplify right side
    1,344.12x = 1,521,067.98
  5. Step 5: Solve for x
    x = 1,521,067.98/1,344.12
  6. Step 6: Final answer
    x = 1,131.65

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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.