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Finding the Fourth Proportional to 627.60, 943.08 and 535.32

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Solution

The fourth proportional to 627.60, 943.08 and 535.32 is: 804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.60 : 943.08 = 535.32 : x
  2. Step 2: Convert to fraction form
    627.60/943.08 = 535.32/x
  3. Step 3: Cross multiply
    627.60x = 943.08 × 535.32
  4. Step 4: Simplify right side
    627.60x = 504,849.59
  5. Step 5: Solve for x
    x = 504,849.59/627.60
  6. Step 6: Final answer
    x = 804.41

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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.