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Finding the Fourth Proportional to 498, 687.12 and 276.84

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Solution

The fourth proportional to 498, 687.12 and 276.84 is: 381.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    498 : 687.12 = 276.84 : x
  2. Step 2: Convert to fraction form
    498/687.12 = 276.84/x
  3. Step 3: Cross multiply
    498x = 687.12 × 276.84
  4. Step 4: Simplify right side
    498x = 190,222.30
  5. Step 5: Solve for x
    x = 190,222.30/498
  6. Step 6: Final answer
    x = 381.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.