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Finding the Fourth Proportional to 427.31, 592.38 and 403.92

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Solution

The fourth proportional to 427.31, 592.38 and 403.92 is: 559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.31 : 592.38 = 403.92 : x
  2. Step 2: Convert to fraction form
    427.31/592.38 = 403.92/x
  3. Step 3: Cross multiply
    427.31x = 592.38 × 403.92
  4. Step 4: Simplify right side
    427.31x = 239,274.84
  5. Step 5: Solve for x
    x = 239,274.84/427.31
  6. Step 6: Final answer
    x = 559.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.