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Finding the Fourth Proportional to 2,265.42, 3,398.20 and 622.06

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Solution

The fourth proportional to 2,265.42, 3,398.20 and 622.06 is: 933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.42 : 3,398.20 = 622.06 : x
  2. Step 2: Convert to fraction form
    2,265.42/3,398.20 = 622.06/x
  3. Step 3: Cross multiply
    2,265.42x = 3,398.20 × 622.06
  4. Step 4: Simplify right side
    2,265.42x = 2,113,884.29
  5. Step 5: Solve for x
    x = 2,113,884.29/2,265.42
  6. Step 6: Final answer
    x = 933.11

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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.