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Finding the Fourth Proportional to 627.84, 865.92 and 395.04

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Solution

The fourth proportional to 627.84, 865.92 and 395.04 is: 544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.84 : 865.92 = 395.04 : x
  2. Step 2: Convert to fraction form
    627.84/865.92 = 395.04/x
  3. Step 3: Cross multiply
    627.84x = 865.92 × 395.04
  4. Step 4: Simplify right side
    627.84x = 342,073.04
  5. Step 5: Solve for x
    x = 342,073.04/627.84
  6. Step 6: Final answer
    x = 544.84

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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.