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Finding the Fourth Proportional to 998.84, 1,499.16 and 512.22

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Solution

The fourth proportional to 998.84, 1,499.16 and 512.22 is: 768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.84 : 1,499.16 = 512.22 : x
  2. Step 2: Convert to fraction form
    998.84/1,499.16 = 512.22/x
  3. Step 3: Cross multiply
    998.84x = 1,499.16 × 512.22
  4. Step 4: Simplify right side
    998.84x = 767,899.74
  5. Step 5: Solve for x
    x = 767,899.74/998.84
  6. Step 6: Final answer
    x = 768.79

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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.