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Finding the Fourth Proportional to 498.98, 689.13 and 333.89

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Solution

The fourth proportional to 498.98, 689.13 and 333.89 is: 461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.98 : 689.13 = 333.89 : x
  2. Step 2: Convert to fraction form
    498.98/689.13 = 333.89/x
  3. Step 3: Cross multiply
    498.98x = 689.13 × 333.89
  4. Step 4: Simplify right side
    498.98x = 230,093.62
  5. Step 5: Solve for x
    x = 230,093.62/498.98
  6. Step 6: Final answer
    x = 461.13

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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.