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Finding the Fourth Proportional to 492.72, 679.37 and 426.21

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Solution

The fourth proportional to 492.72, 679.37 and 426.21 is: 587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.72 : 679.37 = 426.21 : x
  2. Step 2: Convert to fraction form
    492.72/679.37 = 426.21/x
  3. Step 3: Cross multiply
    492.72x = 679.37 × 426.21
  4. Step 4: Simplify right side
    492.72x = 289,554.29
  5. Step 5: Solve for x
    x = 289,554.29/492.72
  6. Step 6: Final answer
    x = 587.66

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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.