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Finding the Fourth Proportional to 428.28, 589.84 and 398.04

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Solution

The fourth proportional to 428.28, 589.84 and 398.04 is: 548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.28 : 589.84 = 398.04 : x
  2. Step 2: Convert to fraction form
    428.28/589.84 = 398.04/x
  3. Step 3: Cross multiply
    428.28x = 589.84 × 398.04
  4. Step 4: Simplify right side
    428.28x = 234,779.91
  5. Step 5: Solve for x
    x = 234,779.91/428.28
  6. Step 6: Final answer
    x = 548.19

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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.