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Finding the Fourth Proportional to 627.08, 941.08 and 512.88

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Solution

The fourth proportional to 627.08, 941.08 and 512.88 is: 769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.08 : 941.08 = 512.88 : x
  2. Step 2: Convert to fraction form
    627.08/941.08 = 512.88/x
  3. Step 3: Cross multiply
    627.08x = 941.08 × 512.88
  4. Step 4: Simplify right side
    627.08x = 482,661.11
  5. Step 5: Solve for x
    x = 482,661.11/627.08
  6. Step 6: Final answer
    x = 769.70

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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.