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Finding the Fourth Proportional to 627.87, 945.10 and 572.50

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Solution

The fourth proportional to 627.87, 945.10 and 572.50 is: 861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.87 : 945.10 = 572.50 : x
  2. Step 2: Convert to fraction form
    627.87/945.10 = 572.50/x
  3. Step 3: Cross multiply
    627.87x = 945.10 × 572.50
  4. Step 4: Simplify right side
    627.87x = 541,069.18
  5. Step 5: Solve for x
    x = 541,069.18/627.87
  6. Step 6: Final answer
    x = 861.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.