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Finding the Fourth Proportional to 2,265.78, 3,398.78 and 622.50

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Solution

The fourth proportional to 2,265.78, 3,398.78 and 622.50 is: 933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.78 : 3,398.78 = 622.50 : x
  2. Step 2: Convert to fraction form
    2,265.78/3,398.78 = 622.50/x
  3. Step 3: Cross multiply
    2,265.78x = 3,398.78 × 622.50
  4. Step 4: Simplify right side
    2,265.78x = 2,115,740.55
  5. Step 5: Solve for x
    x = 2,115,740.55/2,265.78
  6. Step 6: Final answer
    x = 933.78

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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.