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Finding the Fourth Proportional to 427, 642.70 and 364.36

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Solution

The fourth proportional to 427, 642.70 and 364.36 is: 548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    427 : 642.70 = 364.36 : x
  2. Step 2: Convert to fraction form
    427/642.70 = 364.36/x
  3. Step 3: Cross multiply
    427x = 642.70 × 364.36
  4. Step 4: Simplify right side
    427x = 234,174.17
  5. Step 5: Solve for x
    x = 234,174.17/427
  6. Step 6: Final answer
    x = 548.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.