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Finding the Fourth Proportional to 426.57, 589.40 and 329.16

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Solution

The fourth proportional to 426.57, 589.40 and 329.16 is: 454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.57 : 589.40 = 329.16 : x
  2. Step 2: Convert to fraction form
    426.57/589.40 = 329.16/x
  3. Step 3: Cross multiply
    426.57x = 589.40 × 329.16
  4. Step 4: Simplify right side
    426.57x = 194,006.90
  5. Step 5: Solve for x
    x = 194,006.90/426.57
  6. Step 6: Final answer
    x = 454.81

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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.