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Finding the Fourth Proportional to 998.46, 1,377.72 and 578.83

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Solution

The fourth proportional to 998.46, 1,377.72 and 578.83 is: 798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.46 : 1,377.72 = 578.83 : x
  2. Step 2: Convert to fraction form
    998.46/1,377.72 = 578.83/x
  3. Step 3: Cross multiply
    998.46x = 1,377.72 × 578.83
  4. Step 4: Simplify right side
    998.46x = 797,465.67
  5. Step 5: Solve for x
    x = 797,465.67/998.46
  6. Step 6: Final answer
    x = 798.70

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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.