Home / 1,165.85-1,748.79-344.14

Finding the Fourth Proportional to 1,165.85, 1,748.79 and 344.14

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Solution

The fourth proportional to 1,165.85, 1,748.79 and 344.14 is: 516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.85 : 1,748.79 = 344.14 : x
  2. Step 2: Convert to fraction form
    1,165.85/1,748.79 = 344.14/x
  3. Step 3: Cross multiply
    1,165.85x = 1,748.79 × 344.14
  4. Step 4: Simplify right side
    1,165.85x = 601,824.22
  5. Step 5: Solve for x
    x = 601,824.22/1,165.85
  6. Step 6: Final answer
    x = 516.21

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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.