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Finding the Fourth Proportional to 683.91, 943.25 and 619.11

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Solution

The fourth proportional to 683.91, 943.25 and 619.11 is: 853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.91 : 943.25 = 619.11 : x
  2. Step 2: Convert to fraction form
    683.91/943.25 = 619.11/x
  3. Step 3: Cross multiply
    683.91x = 943.25 × 619.11
  4. Step 4: Simplify right side
    683.91x = 583,972.41
  5. Step 5: Solve for x
    x = 583,972.41/683.91
  6. Step 6: Final answer
    x = 853.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.