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Finding the Fourth Proportional to 423.34, 583.57 and 329.92

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Solution

The fourth proportional to 423.34, 583.57 and 329.92 is: 454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.34 : 583.57 = 329.92 : x
  2. Step 2: Convert to fraction form
    423.34/583.57 = 329.92/x
  3. Step 3: Cross multiply
    423.34x = 583.57 × 329.92
  4. Step 4: Simplify right side
    423.34x = 192,531.41
  5. Step 5: Solve for x
    x = 192,531.41/423.34
  6. Step 6: Final answer
    x = 454.79

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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.