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Finding the Fourth Proportional to 498.37, 687.75 and 277.34

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Solution

The fourth proportional to 498.37, 687.75 and 277.34 is: 382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.37 : 687.75 = 277.34 : x
  2. Step 2: Convert to fraction form
    498.37/687.75 = 277.34/x
  3. Step 3: Cross multiply
    498.37x = 687.75 × 277.34
  4. Step 4: Simplify right side
    498.37x = 190,739.20
  5. Step 5: Solve for x
    x = 190,739.20/498.37
  6. Step 6: Final answer
    x = 382.73

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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.