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Finding the Fourth Proportional to 452.50, 674.87 and 421.72

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Solution

The fourth proportional to 452.50, 674.87 and 421.72 is: 628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.50 : 674.87 = 421.72 : x
  2. Step 2: Convert to fraction form
    452.50/674.87 = 421.72/x
  3. Step 3: Cross multiply
    452.50x = 674.87 × 421.72
  4. Step 4: Simplify right side
    452.50x = 284,606.18
  5. Step 5: Solve for x
    x = 284,606.18/452.50
  6. Step 6: Final answer
    x = 628.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.