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Finding the Fourth Proportional to 498.45, 687.84 and 277.39

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Solution

The fourth proportional to 498.45, 687.84 and 277.39 is: 382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.45 : 687.84 = 277.39 : x
  2. Step 2: Convert to fraction form
    498.45/687.84 = 277.39/x
  3. Step 3: Cross multiply
    498.45x = 687.84 × 277.39
  4. Step 4: Simplify right side
    498.45x = 190,796.50
  5. Step 5: Solve for x
    x = 190,796.50/498.45
  6. Step 6: Final answer
    x = 382.78

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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.