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Finding the Fourth Proportional to 452.99, 679.41 and 286.22

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Solution

The fourth proportional to 452.99, 679.41 and 286.22 is: 429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.99 : 679.41 = 286.22 : x
  2. Step 2: Convert to fraction form
    452.99/679.41 = 286.22/x
  3. Step 3: Cross multiply
    452.99x = 679.41 × 286.22
  4. Step 4: Simplify right side
    452.99x = 194,460.73
  5. Step 5: Solve for x
    x = 194,460.73/452.99
  6. Step 6: Final answer
    x = 429.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.