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Finding the Fourth Proportional to 444.61, 612.25 and 397.97

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Solution

The fourth proportional to 444.61, 612.25 and 397.97 is: 548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.61 : 612.25 = 397.97 : x
  2. Step 2: Convert to fraction form
    444.61/612.25 = 397.97/x
  3. Step 3: Cross multiply
    444.61x = 612.25 × 397.97
  4. Step 4: Simplify right side
    444.61x = 243,657.13
  5. Step 5: Solve for x
    x = 243,657.13/444.61
  6. Step 6: Final answer
    x = 548.02

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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.