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Finding the Fourth Proportional to 490.75, 677.24 and 283.87

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Solution

The fourth proportional to 490.75, 677.24 and 283.87 is: 391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.75 : 677.24 = 283.87 : x
  2. Step 2: Convert to fraction form
    490.75/677.24 = 283.87/x
  3. Step 3: Cross multiply
    490.75x = 677.24 × 283.87
  4. Step 4: Simplify right side
    490.75x = 192,248.12
  5. Step 5: Solve for x
    x = 192,248.12/490.75
  6. Step 6: Final answer
    x = 391.74

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Find fourth proportional to 245.38, 338.62 and 141.94
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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.