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Finding the Fourth Proportional to 778.57, 1,074.38 and 464.19

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Solution

The fourth proportional to 778.57, 1,074.38 and 464.19 is: 640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.57 : 1,074.38 = 464.19 : x
  2. Step 2: Convert to fraction form
    778.57/1,074.38 = 464.19/x
  3. Step 3: Cross multiply
    778.57x = 1,074.38 × 464.19
  4. Step 4: Simplify right side
    778.57x = 498,717.61
  5. Step 5: Solve for x
    x = 498,717.61/778.57
  6. Step 6: Final answer
    x = 640.56

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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.