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Finding the Fourth Proportional to 627.25, 941.75 and 616.31

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Solution

The fourth proportional to 627.25, 941.75 and 616.31 is: 925.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.25 : 941.75 = 616.31 : x
  2. Step 2: Convert to fraction form
    627.25/941.75 = 616.31/x
  3. Step 3: Cross multiply
    627.25x = 941.75 × 616.31
  4. Step 4: Simplify right side
    627.25x = 580,406.86
  5. Step 5: Solve for x
    x = 580,406.86/627.25
  6. Step 6: Final answer
    x = 925.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.