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Finding the Fourth Proportional to 490.43, 733.95 and 284.69

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Solution

The fourth proportional to 490.43, 733.95 and 284.69 is: 426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.43 : 733.95 = 284.69 : x
  2. Step 2: Convert to fraction form
    490.43/733.95 = 284.69/x
  3. Step 3: Cross multiply
    490.43x = 733.95 × 284.69
  4. Step 4: Simplify right side
    490.43x = 208,948.23
  5. Step 5: Solve for x
    x = 208,948.23/490.43
  6. Step 6: Final answer
    x = 426.05

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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.