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Finding the Fourth Proportional to 511.20, 762.36 and 498.78

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Solution

The fourth proportional to 511.20, 762.36 and 498.78 is: 743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.20 : 762.36 = 498.78 : x
  2. Step 2: Convert to fraction form
    511.20/762.36 = 498.78/x
  3. Step 3: Cross multiply
    511.20x = 762.36 × 498.78
  4. Step 4: Simplify right side
    511.20x = 380,249.92
  5. Step 5: Solve for x
    x = 380,249.92/511.20
  6. Step 6: Final answer
    x = 743.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.