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Finding the Fourth Proportional to 428.31, 586.82 and 422.91

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Solution

The fourth proportional to 428.31, 586.82 and 422.91 is: 579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.31 : 586.82 = 422.91 : x
  2. Step 2: Convert to fraction form
    428.31/586.82 = 422.91/x
  3. Step 3: Cross multiply
    428.31x = 586.82 × 422.91
  4. Step 4: Simplify right side
    428.31x = 248,173.10
  5. Step 5: Solve for x
    x = 248,173.10/428.31
  6. Step 6: Final answer
    x = 579.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.