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Finding the Fourth Proportional to 428.70, 591.30 and 329.10

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Solution

The fourth proportional to 428.70, 591.30 and 329.10 is: 453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.70 : 591.30 = 329.10 : x
  2. Step 2: Convert to fraction form
    428.70/591.30 = 329.10/x
  3. Step 3: Cross multiply
    428.70x = 591.30 × 329.10
  4. Step 4: Simplify right side
    428.70x = 194,596.83
  5. Step 5: Solve for x
    x = 194,596.83/428.70
  6. Step 6: Final answer
    x = 453.92

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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.