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Finding the Fourth Proportional to 997.05, 1,375.34 and 775.65

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Solution

The fourth proportional to 997.05, 1,375.34 and 775.65 is: 1,069.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.05 : 1,375.34 = 775.65 : x
  2. Step 2: Convert to fraction form
    997.05/1,375.34 = 775.65/x
  3. Step 3: Cross multiply
    997.05x = 1,375.34 × 775.65
  4. Step 4: Simplify right side
    997.05x = 1,066,778.59
  5. Step 5: Solve for x
    x = 1,066,778.59/997.05
  6. Step 6: Final answer
    x = 1,069.93

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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.