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Finding the Fourth Proportional to 452.58, 675.80 and 397.95

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Solution

The fourth proportional to 452.58, 675.80 and 397.95 is: 594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.58 : 675.80 = 397.95 : x
  2. Step 2: Convert to fraction form
    452.58/675.80 = 397.95/x
  3. Step 3: Cross multiply
    452.58x = 675.80 × 397.95
  4. Step 4: Simplify right side
    452.58x = 268,932.62
  5. Step 5: Solve for x
    x = 268,932.62/452.58
  6. Step 6: Final answer
    x = 594.22

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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.