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Finding the Fourth Proportional to 778.08, 1,074.15 and 637.86

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Solution

The fourth proportional to 778.08, 1,074.15 and 637.86 is: 880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.08 : 1,074.15 = 637.86 : x
  2. Step 2: Convert to fraction form
    778.08/1,074.15 = 637.86/x
  3. Step 3: Cross multiply
    778.08x = 1,074.15 × 637.86
  4. Step 4: Simplify right side
    778.08x = 685,157.32
  5. Step 5: Solve for x
    x = 685,157.32/778.08
  6. Step 6: Final answer
    x = 880.57

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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.