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Finding the Fourth Proportional to 997.34, 1,505.02 and 966.56

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Solution

The fourth proportional to 997.34, 1,505.02 and 966.56 is: 1,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.34 : 1,505.02 = 966.56 : x
  2. Step 2: Convert to fraction form
    997.34/1,505.02 = 966.56/x
  3. Step 3: Cross multiply
    997.34x = 1,505.02 × 966.56
  4. Step 4: Simplify right side
    997.34x = 1,454,692.13
  5. Step 5: Solve for x
    x = 1,454,692.13/997.34
  6. Step 6: Final answer
    x = 1,458.57

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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.