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Finding the Fourth Proportional to 429.06, 638.40 and 427.56

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Solution

The fourth proportional to 429.06, 638.40 and 427.56 is: 636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.06 : 638.40 = 427.56 : x
  2. Step 2: Convert to fraction form
    429.06/638.40 = 427.56/x
  3. Step 3: Cross multiply
    429.06x = 638.40 × 427.56
  4. Step 4: Simplify right side
    429.06x = 272,954.30
  5. Step 5: Solve for x
    x = 272,954.30/429.06
  6. Step 6: Final answer
    x = 636.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.