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Finding the Fourth Proportional to 1,627.75, 2,245.77 and 997.95

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Solution

The fourth proportional to 1,627.75, 2,245.77 and 997.95 is: 1,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.75 : 2,245.77 = 997.95 : x
  2. Step 2: Convert to fraction form
    1,627.75/2,245.77 = 997.95/x
  3. Step 3: Cross multiply
    1,627.75x = 2,245.77 × 997.95
  4. Step 4: Simplify right side
    1,627.75x = 2,241,166.17
  5. Step 5: Solve for x
    x = 2,241,166.17/1,627.75
  6. Step 6: Final answer
    x = 1,376.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.