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Finding the Fourth Proportional to 535.87, 806.65 and 382.85

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Solution

The fourth proportional to 535.87, 806.65 and 382.85 is: 576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.87 : 806.65 = 382.85 : x
  2. Step 2: Convert to fraction form
    535.87/806.65 = 382.85/x
  3. Step 3: Cross multiply
    535.87x = 806.65 × 382.85
  4. Step 4: Simplify right side
    535.87x = 308,825.95
  5. Step 5: Solve for x
    x = 308,825.95/535.87
  6. Step 6: Final answer
    x = 576.31

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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.