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Finding the Fourth Proportional to 452.80, 675.14 and 452.17

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Solution

The fourth proportional to 452.80, 675.14 and 452.17 is: 674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.80 : 675.14 = 452.17 : x
  2. Step 2: Convert to fraction form
    452.80/675.14 = 452.17/x
  3. Step 3: Cross multiply
    452.80x = 675.14 × 452.17
  4. Step 4: Simplify right side
    452.80x = 305,278.05
  5. Step 5: Solve for x
    x = 305,278.05/452.80
  6. Step 6: Final answer
    x = 674.20

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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.