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Finding the Fourth Proportional to 2,459.45, 3,689.80 and 816.03

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Solution

The fourth proportional to 2,459.45, 3,689.80 and 816.03 is: 1,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.45 : 3,689.80 = 816.03 : x
  2. Step 2: Convert to fraction form
    2,459.45/3,689.80 = 816.03/x
  3. Step 3: Cross multiply
    2,459.45x = 3,689.80 × 816.03
  4. Step 4: Simplify right side
    2,459.45x = 3,010,985.45
  5. Step 5: Solve for x
    x = 3,010,985.45/2,459.45
  6. Step 6: Final answer
    x = 1,224.25

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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.