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Finding the Fourth Proportional to 498.53, 687.97 and 277.48

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Solution

The fourth proportional to 498.53, 687.97 and 277.48 is: 382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.53 : 687.97 = 277.48 : x
  2. Step 2: Convert to fraction form
    498.53/687.97 = 277.48/x
  3. Step 3: Cross multiply
    498.53x = 687.97 × 277.48
  4. Step 4: Simplify right side
    498.53x = 190,897.92
  5. Step 5: Solve for x
    x = 190,897.92/498.53
  6. Step 6: Final answer
    x = 382.92

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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.