Home / 1,165.15-1,747.20-343.14

Finding the Fourth Proportional to 1,165.15, 1,747.20 and 343.14

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Solution

The fourth proportional to 1,165.15, 1,747.20 and 343.14 is: 514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.15 : 1,747.20 = 343.14 : x
  2. Step 2: Convert to fraction form
    1,165.15/1,747.20 = 343.14/x
  3. Step 3: Cross multiply
    1,165.15x = 1,747.20 × 343.14
  4. Step 4: Simplify right side
    1,165.15x = 599,528.94
  5. Step 5: Solve for x
    x = 599,528.94/1,165.15
  6. Step 6: Final answer
    x = 514.55

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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.