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Finding the Fourth Proportional to 498.72, 688.39 and 299.66

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Solution

The fourth proportional to 498.72, 688.39 and 299.66 is: 413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.72 : 688.39 = 299.66 : x
  2. Step 2: Convert to fraction form
    498.72/688.39 = 299.66/x
  3. Step 3: Cross multiply
    498.72x = 688.39 × 299.66
  4. Step 4: Simplify right side
    498.72x = 206,282.95
  5. Step 5: Solve for x
    x = 206,282.95/498.72
  6. Step 6: Final answer
    x = 413.62

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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.