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Finding the Fourth Proportional to 865.22, 1,296.86 and 377.34

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Solution

The fourth proportional to 865.22, 1,296.86 and 377.34 is: 565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.22 : 1,296.86 = 377.34 : x
  2. Step 2: Convert to fraction form
    865.22/1,296.86 = 377.34/x
  3. Step 3: Cross multiply
    865.22x = 1,296.86 × 377.34
  4. Step 4: Simplify right side
    865.22x = 489,357.15
  5. Step 5: Solve for x
    x = 489,357.15/865.22
  6. Step 6: Final answer
    x = 565.59

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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.