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Finding the Fourth Proportional to 490.42, 733.60 and 402.78

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Solution

The fourth proportional to 490.42, 733.60 and 402.78 is: 602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.42 : 733.60 = 402.78 : x
  2. Step 2: Convert to fraction form
    490.42/733.60 = 402.78/x
  3. Step 3: Cross multiply
    490.42x = 733.60 × 402.78
  4. Step 4: Simplify right side
    490.42x = 295,479.41
  5. Step 5: Solve for x
    x = 295,479.41/490.42
  6. Step 6: Final answer
    x = 602.50

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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.