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Finding the Fourth Proportional to 778.35, 1,074.26 and 591.55

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Solution

The fourth proportional to 778.35, 1,074.26 and 591.55 is: 816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.35 : 1,074.26 = 591.55 : x
  2. Step 2: Convert to fraction form
    778.35/1,074.26 = 591.55/x
  3. Step 3: Cross multiply
    778.35x = 1,074.26 × 591.55
  4. Step 4: Simplify right side
    778.35x = 635,472.86
  5. Step 5: Solve for x
    x = 635,472.86/778.35
  6. Step 6: Final answer
    x = 816.44

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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.