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Finding the Fourth Proportional to 909.75, 1,255.47 and 495.75

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Solution

The fourth proportional to 909.75, 1,255.47 and 495.75 is: 684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.75 : 1,255.47 = 495.75 : x
  2. Step 2: Convert to fraction form
    909.75/1,255.47 = 495.75/x
  3. Step 3: Cross multiply
    909.75x = 1,255.47 × 495.75
  4. Step 4: Simplify right side
    909.75x = 622,399.25
  5. Step 5: Solve for x
    x = 622,399.25/909.75
  6. Step 6: Final answer
    x = 684.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.