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Finding the Fourth Proportional to 2,459.90, 3,687.06 and 997.22

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Solution

The fourth proportional to 2,459.90, 3,687.06 and 997.22 is: 1,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.90 : 3,687.06 = 997.22 : x
  2. Step 2: Convert to fraction form
    2,459.90/3,687.06 = 997.22/x
  3. Step 3: Cross multiply
    2,459.90x = 3,687.06 × 997.22
  4. Step 4: Simplify right side
    2,459.90x = 3,676,809.97
  5. Step 5: Solve for x
    x = 3,676,809.97/2,459.90
  6. Step 6: Final answer
    x = 1,494.70

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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.