Home / 1,143.38-1,721.30-780.46

Finding the Fourth Proportional to 1,143.38, 1,721.30 and 780.46

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Solution

The fourth proportional to 1,143.38, 1,721.30 and 780.46 is: 1,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.38 : 1,721.30 = 780.46 : x
  2. Step 2: Convert to fraction form
    1,143.38/1,721.30 = 780.46/x
  3. Step 3: Cross multiply
    1,143.38x = 1,721.30 × 780.46
  4. Step 4: Simplify right side
    1,143.38x = 1,343,405.80
  5. Step 5: Solve for x
    x = 1,343,405.80/1,143.38
  6. Step 6: Final answer
    x = 1,174.94

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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.