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Finding the Fourth Proportional to 444.15, 612.33 and 382.64

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Solution

The fourth proportional to 444.15, 612.33 and 382.64 is: 527.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.15 : 612.33 = 382.64 : x
  2. Step 2: Convert to fraction form
    444.15/612.33 = 382.64/x
  3. Step 3: Cross multiply
    444.15x = 612.33 × 382.64
  4. Step 4: Simplify right side
    444.15x = 234,298.89
  5. Step 5: Solve for x
    x = 234,298.89/444.15
  6. Step 6: Final answer
    x = 527.52

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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.