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Finding the Fourth Proportional to 452.62, 624.69 and 275.65

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Solution

The fourth proportional to 452.62, 624.69 and 275.65 is: 380.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.62 : 624.69 = 275.65 : x
  2. Step 2: Convert to fraction form
    452.62/624.69 = 275.65/x
  3. Step 3: Cross multiply
    452.62x = 624.69 × 275.65
  4. Step 4: Simplify right side
    452.62x = 172,195.80
  5. Step 5: Solve for x
    x = 172,195.80/452.62
  6. Step 6: Final answer
    x = 380.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.