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Finding the Fourth Proportional to 2,459.23, 3,689.22 and 998.48

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Solution

The fourth proportional to 2,459.23, 3,689.22 and 998.48 is: 1,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.23 : 3,689.22 = 998.48 : x
  2. Step 2: Convert to fraction form
    2,459.23/3,689.22 = 998.48/x
  3. Step 3: Cross multiply
    2,459.23x = 3,689.22 × 998.48
  4. Step 4: Simplify right side
    2,459.23x = 3,683,625.35
  5. Step 5: Solve for x
    x = 3,683,625.35/2,459.23
  6. Step 6: Final answer
    x = 1,497.88

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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.