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Finding the Fourth Proportional to 498.70, 742.79 and 472.68

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Solution

The fourth proportional to 498.70, 742.79 and 472.68 is: 704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.70 : 742.79 = 472.68 : x
  2. Step 2: Convert to fraction form
    498.70/742.79 = 472.68/x
  3. Step 3: Cross multiply
    498.70x = 742.79 × 472.68
  4. Step 4: Simplify right side
    498.70x = 351,101.89
  5. Step 5: Solve for x
    x = 351,101.89/498.70
  6. Step 6: Final answer
    x = 704.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.