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Finding the Fourth Proportional to 677.44, 1,015.20 and 388.28

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Solution

The fourth proportional to 677.44, 1,015.20 and 388.28 is: 581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.44 : 1,015.20 = 388.28 : x
  2. Step 2: Convert to fraction form
    677.44/1,015.20 = 388.28/x
  3. Step 3: Cross multiply
    677.44x = 1,015.20 × 388.28
  4. Step 4: Simplify right side
    677.44x = 394,181.86
  5. Step 5: Solve for x
    x = 394,181.86/677.44
  6. Step 6: Final answer
    x = 581.87

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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.