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Finding the Fourth Proportional to 645.06, 966.30 and 449.40

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Solution

The fourth proportional to 645.06, 966.30 and 449.40 is: 673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.06 : 966.30 = 449.40 : x
  2. Step 2: Convert to fraction form
    645.06/966.30 = 449.40/x
  3. Step 3: Cross multiply
    645.06x = 966.30 × 449.40
  4. Step 4: Simplify right side
    645.06x = 434,255.22
  5. Step 5: Solve for x
    x = 434,255.22/645.06
  6. Step 6: Final answer
    x = 673.20

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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.