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Finding the Fourth Proportional to 627.64, 865.58 and 428.38

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Solution

The fourth proportional to 627.64, 865.58 and 428.38 is: 590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.64 : 865.58 = 428.38 : x
  2. Step 2: Convert to fraction form
    627.64/865.58 = 428.38/x
  3. Step 3: Cross multiply
    627.64x = 865.58 × 428.38
  4. Step 4: Simplify right side
    627.64x = 370,792.85
  5. Step 5: Solve for x
    x = 370,792.85/627.64
  6. Step 6: Final answer
    x = 590.78

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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.