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Finding the Fourth Proportional to 426.78, 587.88 and 395.28

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Solution

The fourth proportional to 426.78, 587.88 and 395.28 is: 544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.78 : 587.88 = 395.28 : x
  2. Step 2: Convert to fraction form
    426.78/587.88 = 395.28/x
  3. Step 3: Cross multiply
    426.78x = 587.88 × 395.28
  4. Step 4: Simplify right side
    426.78x = 232,377.21
  5. Step 5: Solve for x
    x = 232,377.21/426.78
  6. Step 6: Final answer
    x = 544.49

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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.