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Finding the Fourth Proportional to 927, 1,279.26 and 616.50

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Solution

The fourth proportional to 927, 1,279.26 and 616.50 is: 850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    927 : 1,279.26 = 616.50 : x
  2. Step 2: Convert to fraction form
    927/1,279.26 = 616.50/x
  3. Step 3: Cross multiply
    927x = 1,279.26 × 616.50
  4. Step 4: Simplify right side
    927x = 788,663.79
  5. Step 5: Solve for x
    x = 788,663.79/927
  6. Step 6: Final answer
    x = 850.77

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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.