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Finding the Fourth Proportional to 498.22, 687.87 and 311.98

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Solution

The fourth proportional to 498.22, 687.87 and 311.98 is: 430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.22 : 687.87 = 311.98 : x
  2. Step 2: Convert to fraction form
    498.22/687.87 = 311.98/x
  3. Step 3: Cross multiply
    498.22x = 687.87 × 311.98
  4. Step 4: Simplify right side
    498.22x = 214,601.68
  5. Step 5: Solve for x
    x = 214,601.68/498.22
  6. Step 6: Final answer
    x = 430.74

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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.