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Finding the Fourth Proportional to 627.30, 865.86 and 406.27

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Solution

The fourth proportional to 627.30, 865.86 and 406.27 is: 560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.30 : 865.86 = 406.27 : x
  2. Step 2: Convert to fraction form
    627.30/865.86 = 406.27/x
  3. Step 3: Cross multiply
    627.30x = 865.86 × 406.27
  4. Step 4: Simplify right side
    627.30x = 351,768.61
  5. Step 5: Solve for x
    x = 351,768.61/627.30
  6. Step 6: Final answer
    x = 560.77

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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.