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Finding the Fourth Proportional to 496.52, 744.78 and 280.52

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Solution

The fourth proportional to 496.52, 744.78 and 280.52 is: 420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.52 : 744.78 = 280.52 : x
  2. Step 2: Convert to fraction form
    496.52/744.78 = 280.52/x
  3. Step 3: Cross multiply
    496.52x = 744.78 × 280.52
  4. Step 4: Simplify right side
    496.52x = 208,925.69
  5. Step 5: Solve for x
    x = 208,925.69/496.52
  6. Step 6: Final answer
    x = 420.78

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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.