Home / 1,535.27-2,302.82-495.25

Finding the Fourth Proportional to 1,535.27, 2,302.82 and 495.25

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Solution

The fourth proportional to 1,535.27, 2,302.82 and 495.25 is: 742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.27 : 2,302.82 = 495.25 : x
  2. Step 2: Convert to fraction form
    1,535.27/2,302.82 = 495.25/x
  3. Step 3: Cross multiply
    1,535.27x = 2,302.82 × 495.25
  4. Step 4: Simplify right side
    1,535.27x = 1,140,480.97
  5. Step 5: Solve for x
    x = 1,140,480.97/1,535.27
  6. Step 6: Final answer
    x = 742.85

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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.