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Finding the Fourth Proportional to 778.42, 1,167.31 and 388.28

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Solution

The fourth proportional to 778.42, 1,167.31 and 388.28 is: 582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.42 : 1,167.31 = 388.28 : x
  2. Step 2: Convert to fraction form
    778.42/1,167.31 = 388.28/x
  3. Step 3: Cross multiply
    778.42x = 1,167.31 × 388.28
  4. Step 4: Simplify right side
    778.42x = 453,236.32
  5. Step 5: Solve for x
    x = 453,236.32/778.42
  6. Step 6: Final answer
    x = 582.25

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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.