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Finding the Fourth Proportional to 645.65, 966.78 and 450.08

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Solution

The fourth proportional to 645.65, 966.78 and 450.08 is: 673.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.65 : 966.78 = 450.08 : x
  2. Step 2: Convert to fraction form
    645.65/966.78 = 450.08/x
  3. Step 3: Cross multiply
    645.65x = 966.78 × 450.08
  4. Step 4: Simplify right side
    645.65x = 435,123.51
  5. Step 5: Solve for x
    x = 435,123.51/645.65
  6. Step 6: Final answer
    x = 673.94

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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.