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Finding the Fourth Proportional to 627.87, 942.15 and 474.75

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Solution

The fourth proportional to 627.87, 942.15 and 474.75 is: 712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.87 : 942.15 = 474.75 : x
  2. Step 2: Convert to fraction form
    627.87/942.15 = 474.75/x
  3. Step 3: Cross multiply
    627.87x = 942.15 × 474.75
  4. Step 4: Simplify right side
    627.87x = 447,285.71
  5. Step 5: Solve for x
    x = 447,285.71/627.87
  6. Step 6: Final answer
    x = 712.39

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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.