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Finding the Fourth Proportional to 490.52, 677 and 283.52

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Solution

The fourth proportional to 490.52, 677 and 283.52 is: 391.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.52 : 677 = 283.52 : x
  2. Step 2: Convert to fraction form
    490.52/677 = 283.52/x
  3. Step 3: Cross multiply
    490.52x = 677 × 283.52
  4. Step 4: Simplify right side
    490.52x = 191,943.04
  5. Step 5: Solve for x
    x = 191,943.04/490.52
  6. Step 6: Final answer
    x = 391.31

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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.