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Finding the Fourth Proportional to 452.92, 624.97 and 286.84

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Solution

The fourth proportional to 452.92, 624.97 and 286.84 is: 395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.92 : 624.97 = 286.84 : x
  2. Step 2: Convert to fraction form
    452.92/624.97 = 286.84/x
  3. Step 3: Cross multiply
    452.92x = 624.97 × 286.84
  4. Step 4: Simplify right side
    452.92x = 179,266.39
  5. Step 5: Solve for x
    x = 179,266.39/452.92
  6. Step 6: Final answer
    x = 395.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.