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Finding the Fourth Proportional to 969.82, 1,454.31 and 376.75

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Solution

The fourth proportional to 969.82, 1,454.31 and 376.75 is: 564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.82 : 1,454.31 = 376.75 : x
  2. Step 2: Convert to fraction form
    969.82/1,454.31 = 376.75/x
  3. Step 3: Cross multiply
    969.82x = 1,454.31 × 376.75
  4. Step 4: Simplify right side
    969.82x = 547,911.29
  5. Step 5: Solve for x
    x = 547,911.29/969.82
  6. Step 6: Final answer
    x = 564.96

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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.