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Finding the Fourth Proportional to 909.00, 1,255.44 and 613.75

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Solution

The fourth proportional to 909.00, 1,255.44 and 613.75 is: 847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.00 : 1,255.44 = 613.75 : x
  2. Step 2: Convert to fraction form
    909.00/1,255.44 = 613.75/x
  3. Step 3: Cross multiply
    909.00x = 1,255.44 × 613.75
  4. Step 4: Simplify right side
    909.00x = 770,523.23
  5. Step 5: Solve for x
    x = 770,523.23/909.00
  6. Step 6: Final answer
    x = 847.66

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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.