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Finding the Fourth Proportional to 1,434.50, 2,152.11 and 408.50

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Solution

The fourth proportional to 1,434.50, 2,152.11 and 408.50 is: 612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.50 : 2,152.11 = 408.50 : x
  2. Step 2: Convert to fraction form
    1,434.50/2,152.11 = 408.50/x
  3. Step 3: Cross multiply
    1,434.50x = 2,152.11 × 408.50
  4. Step 4: Simplify right side
    1,434.50x = 879,136.94
  5. Step 5: Solve for x
    x = 879,136.94/1,434.50
  6. Step 6: Final answer
    x = 612.85

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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.