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Finding the Fourth Proportional to 998.88, 1,498.97 and 349.59

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Solution

The fourth proportional to 998.88, 1,498.97 and 349.59 is: 524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.88 : 1,498.97 = 349.59 : x
  2. Step 2: Convert to fraction form
    998.88/1,498.97 = 349.59/x
  3. Step 3: Cross multiply
    998.88x = 1,498.97 × 349.59
  4. Step 4: Simplify right side
    998.88x = 524,031.42
  5. Step 5: Solve for x
    x = 524,031.42/998.88
  6. Step 6: Final answer
    x = 524.62

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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.