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Finding the Fourth Proportional to 1,344.40, 1,854.70 and 820.13

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Solution

The fourth proportional to 1,344.40, 1,854.70 and 820.13 is: 1,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.40 : 1,854.70 = 820.13 : x
  2. Step 2: Convert to fraction form
    1,344.40/1,854.70 = 820.13/x
  3. Step 3: Cross multiply
    1,344.40x = 1,854.70 × 820.13
  4. Step 4: Simplify right side
    1,344.40x = 1,521,083.79
  5. Step 5: Solve for x
    x = 1,521,083.79/1,344.40
  6. Step 6: Final answer
    x = 1,131.42

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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.