Home / 1,143.27-1,721.61-820.89

Finding the Fourth Proportional to 1,143.27, 1,721.61 and 820.89

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Solution

The fourth proportional to 1,143.27, 1,721.61 and 820.89 is: 1,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.27 : 1,721.61 = 820.89 : x
  2. Step 2: Convert to fraction form
    1,143.27/1,721.61 = 820.89/x
  3. Step 3: Cross multiply
    1,143.27x = 1,721.61 × 820.89
  4. Step 4: Simplify right side
    1,143.27x = 1,413,252.43
  5. Step 5: Solve for x
    x = 1,413,252.43/1,143.27
  6. Step 6: Final answer
    x = 1,236.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.