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Finding the Fourth Proportional to 1,084.24, 1,626.42 and 353.86

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Solution

The fourth proportional to 1,084.24, 1,626.42 and 353.86 is: 530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.24 : 1,626.42 = 353.86 : x
  2. Step 2: Convert to fraction form
    1,084.24/1,626.42 = 353.86/x
  3. Step 3: Cross multiply
    1,084.24x = 1,626.42 × 353.86
  4. Step 4: Simplify right side
    1,084.24x = 575,524.98
  5. Step 5: Solve for x
    x = 575,524.98/1,084.24
  6. Step 6: Final answer
    x = 530.81

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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.