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Finding the Fourth Proportional to 627.59, 865.90 and 406.35

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Solution

The fourth proportional to 627.59, 865.90 and 406.35 is: 560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.59 : 865.90 = 406.35 : x
  2. Step 2: Convert to fraction form
    627.59/865.90 = 406.35/x
  3. Step 3: Cross multiply
    627.59x = 865.90 × 406.35
  4. Step 4: Simplify right side
    627.59x = 351,858.47
  5. Step 5: Solve for x
    x = 351,858.47/627.59
  6. Step 6: Final answer
    x = 560.65

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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.