Home / 1,538.49-2,306.68-757.55

Finding the Fourth Proportional to 1,538.49, 2,306.68 and 757.55

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Solution

The fourth proportional to 1,538.49, 2,306.68 and 757.55 is: 1,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.49 : 2,306.68 = 757.55 : x
  2. Step 2: Convert to fraction form
    1,538.49/2,306.68 = 757.55/x
  3. Step 3: Cross multiply
    1,538.49x = 2,306.68 × 757.55
  4. Step 4: Simplify right side
    1,538.49x = 1,747,429.31
  5. Step 5: Solve for x
    x = 1,747,429.31/1,538.49
  6. Step 6: Final answer
    x = 1,135.81

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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.