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Finding the Fourth Proportional to 2,263.43, 3,395.15 and 619.85

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Solution

The fourth proportional to 2,263.43, 3,395.15 and 619.85 is: 929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.43 : 3,395.15 = 619.85 : x
  2. Step 2: Convert to fraction form
    2,263.43/3,395.15 = 619.85/x
  3. Step 3: Cross multiply
    2,263.43x = 3,395.15 × 619.85
  4. Step 4: Simplify right side
    2,263.43x = 2,104,483.73
  5. Step 5: Solve for x
    x = 2,104,483.73/2,263.43
  6. Step 6: Final answer
    x = 929.78

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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.