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Finding the Fourth Proportional to 408.68, 612.14 and 380.19

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Solution

The fourth proportional to 408.68, 612.14 and 380.19 is: 569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.68 : 612.14 = 380.19 : x
  2. Step 2: Convert to fraction form
    408.68/612.14 = 380.19/x
  3. Step 3: Cross multiply
    408.68x = 612.14 × 380.19
  4. Step 4: Simplify right side
    408.68x = 232,727.61
  5. Step 5: Solve for x
    x = 232,727.61/408.68
  6. Step 6: Final answer
    x = 569.47

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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.