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Finding the Fourth Proportional to 778.72, 1,074.72 and 463.92

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Solution

The fourth proportional to 778.72, 1,074.72 and 463.92 is: 640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.72 : 1,074.72 = 463.92 : x
  2. Step 2: Convert to fraction form
    778.72/1,074.72 = 463.92/x
  3. Step 3: Cross multiply
    778.72x = 1,074.72 × 463.92
  4. Step 4: Simplify right side
    778.72x = 498,584.10
  5. Step 5: Solve for x
    x = 498,584.10/778.72
  6. Step 6: Final answer
    x = 640.26

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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.