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Finding the Fourth Proportional to 426.13, 589.08 and 382.39

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Solution

The fourth proportional to 426.13, 589.08 and 382.39 is: 528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.13 : 589.08 = 382.39 : x
  2. Step 2: Convert to fraction form
    426.13/589.08 = 382.39/x
  3. Step 3: Cross multiply
    426.13x = 589.08 × 382.39
  4. Step 4: Simplify right side
    426.13x = 225,258.30
  5. Step 5: Solve for x
    x = 225,258.30/426.13
  6. Step 6: Final answer
    x = 528.61

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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.