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Finding the Fourth Proportional to 490.74, 735.35 and 284.80

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Solution

The fourth proportional to 490.74, 735.35 and 284.80 is: 426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.74 : 735.35 = 284.80 : x
  2. Step 2: Convert to fraction form
    490.74/735.35 = 284.80/x
  3. Step 3: Cross multiply
    490.74x = 735.35 × 284.80
  4. Step 4: Simplify right side
    490.74x = 209,424.42
  5. Step 5: Solve for x
    x = 209,424.42/490.74
  6. Step 6: Final answer
    x = 426.75

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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.