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Finding the Fourth Proportional to 998.46, 1,378.02 and 578.84

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Solution

The fourth proportional to 998.46, 1,378.02 and 578.84 is: 798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.46 : 1,378.02 = 578.84 : x
  2. Step 2: Convert to fraction form
    998.46/1,378.02 = 578.84/x
  3. Step 3: Cross multiply
    998.46x = 1,378.02 × 578.84
  4. Step 4: Simplify right side
    998.46x = 797,648.38
  5. Step 5: Solve for x
    x = 797,648.38/998.46
  6. Step 6: Final answer
    x = 798.88

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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.