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Finding the Fourth Proportional to 1,434.75, 2,152.17 and 408.75

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Solution

The fourth proportional to 1,434.75, 2,152.17 and 408.75 is: 613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.75 : 2,152.17 = 408.75 : x
  2. Step 2: Convert to fraction form
    1,434.75/2,152.17 = 408.75/x
  3. Step 3: Cross multiply
    1,434.75x = 2,152.17 × 408.75
  4. Step 4: Simplify right side
    1,434.75x = 879,699.49
  5. Step 5: Solve for x
    x = 879,699.49/1,434.75
  6. Step 6: Final answer
    x = 613.14

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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.