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Finding the Fourth Proportional to 452.27, 675.13 and 397.60

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Solution

The fourth proportional to 452.27, 675.13 and 397.60 is: 593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.27 : 675.13 = 397.60 : x
  2. Step 2: Convert to fraction form
    452.27/675.13 = 397.60/x
  3. Step 3: Cross multiply
    452.27x = 675.13 × 397.60
  4. Step 4: Simplify right side
    452.27x = 268,431.69
  5. Step 5: Solve for x
    x = 268,431.69/452.27
  6. Step 6: Final answer
    x = 593.52

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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.