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Finding the Fourth Proportional to 444.60, 612.78 and 408.12

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Solution

The fourth proportional to 444.60, 612.78 and 408.12 is: 562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.60 : 612.78 = 408.12 : x
  2. Step 2: Convert to fraction form
    444.60/612.78 = 408.12/x
  3. Step 3: Cross multiply
    444.60x = 612.78 × 408.12
  4. Step 4: Simplify right side
    444.60x = 250,087.77
  5. Step 5: Solve for x
    x = 250,087.77/444.60
  6. Step 6: Final answer
    x = 562.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.