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Finding the Fourth Proportional to 1,103.59, 1,522.94 and 606.22

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Solution

The fourth proportional to 1,103.59, 1,522.94 and 606.22 is: 836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.59 : 1,522.94 = 606.22 : x
  2. Step 2: Convert to fraction form
    1,103.59/1,522.94 = 606.22/x
  3. Step 3: Cross multiply
    1,103.59x = 1,522.94 × 606.22
  4. Step 4: Simplify right side
    1,103.59x = 923,229.85
  5. Step 5: Solve for x
    x = 923,229.85/1,103.59
  6. Step 6: Final answer
    x = 836.57

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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.