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Finding the Fourth Proportional to 498.22, 746.79 and 336.76

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Solution

The fourth proportional to 498.22, 746.79 and 336.76 is: 504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.22 : 746.79 = 336.76 : x
  2. Step 2: Convert to fraction form
    498.22/746.79 = 336.76/x
  3. Step 3: Cross multiply
    498.22x = 746.79 × 336.76
  4. Step 4: Simplify right side
    498.22x = 251,489.00
  5. Step 5: Solve for x
    x = 251,489.00/498.22
  6. Step 6: Final answer
    x = 504.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.