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Finding the Fourth Proportional to 1,087.98, 1,630.90 and 809.61

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Solution

The fourth proportional to 1,087.98, 1,630.90 and 809.61 is: 1,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.98 : 1,630.90 = 809.61 : x
  2. Step 2: Convert to fraction form
    1,087.98/1,630.90 = 809.61/x
  3. Step 3: Cross multiply
    1,087.98x = 1,630.90 × 809.61
  4. Step 4: Simplify right side
    1,087.98x = 1,320,392.95
  5. Step 5: Solve for x
    x = 1,320,392.95/1,087.98
  6. Step 6: Final answer
    x = 1,213.62

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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.