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Finding the Fourth Proportional to 2,265.49, 3,398.31 and 622.03

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Solution

The fourth proportional to 2,265.49, 3,398.31 and 622.03 is: 933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.49 : 3,398.31 = 622.03 : x
  2. Step 2: Convert to fraction form
    2,265.49/3,398.31 = 622.03/x
  3. Step 3: Cross multiply
    2,265.49x = 3,398.31 × 622.03
  4. Step 4: Simplify right side
    2,265.49x = 2,113,842.27
  5. Step 5: Solve for x
    x = 2,113,842.27/2,265.49
  6. Step 6: Final answer
    x = 933.06

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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.