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Finding the Fourth Proportional to 998.46, 1,377.90 and 605.39

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Solution

The fourth proportional to 998.46, 1,377.90 and 605.39 is: 835.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.46 : 1,377.90 = 605.39 : x
  2. Step 2: Convert to fraction form
    998.46/1,377.90 = 605.39/x
  3. Step 3: Cross multiply
    998.46x = 1,377.90 × 605.39
  4. Step 4: Simplify right side
    998.46x = 834,159.99
  5. Step 5: Solve for x
    x = 834,159.99/998.46
  6. Step 6: Final answer
    x = 835.45

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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.