Home / 1,343.20-2,012.10-765.40

Finding the Fourth Proportional to 1,343.20, 2,012.10 and 765.40

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Solution

The fourth proportional to 1,343.20, 2,012.10 and 765.40 is: 1,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.20 : 2,012.10 = 765.40 : x
  2. Step 2: Convert to fraction form
    1,343.20/2,012.10 = 765.40/x
  3. Step 3: Cross multiply
    1,343.20x = 2,012.10 × 765.40
  4. Step 4: Simplify right side
    1,343.20x = 1,540,061.34
  5. Step 5: Solve for x
    x = 1,540,061.34/1,343.20
  6. Step 6: Final answer
    x = 1,146.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.