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Finding the Fourth Proportional to 428.13, 589.82 and 354.42

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Solution

The fourth proportional to 428.13, 589.82 and 354.42 is: 488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.13 : 589.82 = 354.42 : x
  2. Step 2: Convert to fraction form
    428.13/589.82 = 354.42/x
  3. Step 3: Cross multiply
    428.13x = 589.82 × 354.42
  4. Step 4: Simplify right side
    428.13x = 209,042.23
  5. Step 5: Solve for x
    x = 209,042.23/428.13
  6. Step 6: Final answer
    x = 488.27

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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.