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Finding the Fourth Proportional to 997.49, 1,377.09 and 775.95

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Solution

The fourth proportional to 997.49, 1,377.09 and 775.95 is: 1,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.49 : 1,377.09 = 775.95 : x
  2. Step 2: Convert to fraction form
    997.49/1,377.09 = 775.95/x
  3. Step 3: Cross multiply
    997.49x = 1,377.09 × 775.95
  4. Step 4: Simplify right side
    997.49x = 1,068,552.99
  5. Step 5: Solve for x
    x = 1,068,552.99/997.49
  6. Step 6: Final answer
    x = 1,071.25

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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.