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Finding the Fourth Proportional to 969.08, 1,452.80 and 449.45

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Solution

The fourth proportional to 969.08, 1,452.80 and 449.45 is: 673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.08 : 1,452.80 = 449.45 : x
  2. Step 2: Convert to fraction form
    969.08/1,452.80 = 449.45/x
  3. Step 3: Cross multiply
    969.08x = 1,452.80 × 449.45
  4. Step 4: Simplify right side
    969.08x = 652,960.83
  5. Step 5: Solve for x
    x = 652,960.83/969.08
  6. Step 6: Final answer
    x = 673.80

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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.