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Finding the Fourth Proportional to 426.62, 589 and 328.18

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Solution

The fourth proportional to 426.62, 589 and 328.18 is: 453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.62 : 589 = 328.18 : x
  2. Step 2: Convert to fraction form
    426.62/589 = 328.18/x
  3. Step 3: Cross multiply
    426.62x = 589 × 328.18
  4. Step 4: Simplify right side
    426.62x = 193,298.02
  5. Step 5: Solve for x
    x = 193,298.02/426.62
  6. Step 6: Final answer
    x = 453.09

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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.