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Finding the Fourth Proportional to 998.10, 1,377.46 and 605.10

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Solution

The fourth proportional to 998.10, 1,377.46 and 605.10 is: 835.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.10 : 1,377.46 = 605.10 : x
  2. Step 2: Convert to fraction form
    998.10/1,377.46 = 605.10/x
  3. Step 3: Cross multiply
    998.10x = 1,377.46 × 605.10
  4. Step 4: Simplify right side
    998.10x = 833,501.05
  5. Step 5: Solve for x
    x = 833,501.05/998.10
  6. Step 6: Final answer
    x = 835.09

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1.5x scale

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.