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Finding the Fourth Proportional to 426.56, 592.74 and 422.11

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Solution

The fourth proportional to 426.56, 592.74 and 422.11 is: 586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.56 : 592.74 = 422.11 : x
  2. Step 2: Convert to fraction form
    426.56/592.74 = 422.11/x
  3. Step 3: Cross multiply
    426.56x = 592.74 × 422.11
  4. Step 4: Simplify right side
    426.56x = 250,196.41
  5. Step 5: Solve for x
    x = 250,196.41/426.56
  6. Step 6: Final answer
    x = 586.54

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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.