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Finding the Fourth Proportional to 441.56, 612.47 and 426.92

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Solution

The fourth proportional to 441.56, 612.47 and 426.92 is: 592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.56 : 612.47 = 426.92 : x
  2. Step 2: Convert to fraction form
    441.56/612.47 = 426.92/x
  3. Step 3: Cross multiply
    441.56x = 612.47 × 426.92
  4. Step 4: Simplify right side
    441.56x = 261,475.69
  5. Step 5: Solve for x
    x = 261,475.69/441.56
  6. Step 6: Final answer
    x = 592.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.