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Finding the Fourth Proportional to 452.64, 675.68 and 397.97

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Solution

The fourth proportional to 452.64, 675.68 and 397.97 is: 594.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.64 : 675.68 = 397.97 : x
  2. Step 2: Convert to fraction form
    452.64/675.68 = 397.97/x
  3. Step 3: Cross multiply
    452.64x = 675.68 × 397.97
  4. Step 4: Simplify right side
    452.64x = 268,895.00
  5. Step 5: Solve for x
    x = 268,895.00/452.64
  6. Step 6: Final answer
    x = 594.06

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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.