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Finding the Fourth Proportional to 2,459.67, 3,690.31 and 998.43

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Solution

The fourth proportional to 2,459.67, 3,690.31 and 998.43 is: 1,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.67 : 3,690.31 = 998.43 : x
  2. Step 2: Convert to fraction form
    2,459.67/3,690.31 = 998.43/x
  3. Step 3: Cross multiply
    2,459.67x = 3,690.31 × 998.43
  4. Step 4: Simplify right side
    2,459.67x = 3,684,497.76
  5. Step 5: Solve for x
    x = 3,684,497.76/2,459.67
  6. Step 6: Final answer
    x = 1,497.97

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1.5x scale

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.