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Finding the Fourth Proportional to 2,263.29, 3,394.49 and 619.41

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Solution

The fourth proportional to 2,263.29, 3,394.49 and 619.41 is: 928.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.29 : 3,394.49 = 619.41 : x
  2. Step 2: Convert to fraction form
    2,263.29/3,394.49 = 619.41/x
  3. Step 3: Cross multiply
    2,263.29x = 3,394.49 × 619.41
  4. Step 4: Simplify right side
    2,263.29x = 2,102,577.95
  5. Step 5: Solve for x
    x = 2,102,577.95/2,263.29
  6. Step 6: Final answer
    x = 928.99

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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.