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Finding the Fourth Proportional to 419.24, 625.26 and 411.54

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Solution

The fourth proportional to 419.24, 625.26 and 411.54 is: 613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.24 : 625.26 = 411.54 : x
  2. Step 2: Convert to fraction form
    419.24/625.26 = 411.54/x
  3. Step 3: Cross multiply
    419.24x = 625.26 × 411.54
  4. Step 4: Simplify right side
    419.24x = 257,319.50
  5. Step 5: Solve for x
    x = 257,319.50/419.24
  6. Step 6: Final answer
    x = 613.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.