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Finding the Fourth Proportional to 909.52, 1,255.23 and 516.50

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Solution

The fourth proportional to 909.52, 1,255.23 and 516.50 is: 712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.52 : 1,255.23 = 516.50 : x
  2. Step 2: Convert to fraction form
    909.52/1,255.23 = 516.50/x
  3. Step 3: Cross multiply
    909.52x = 1,255.23 × 516.50
  4. Step 4: Simplify right side
    909.52x = 648,326.30
  5. Step 5: Solve for x
    x = 648,326.30/909.52
  6. Step 6: Final answer
    x = 712.82

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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.