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Finding the Fourth Proportional to 426.81, 593.09 and 422.36

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Solution

The fourth proportional to 426.81, 593.09 and 422.36 is: 586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.81 : 593.09 = 422.36 : x
  2. Step 2: Convert to fraction form
    426.81/593.09 = 422.36/x
  3. Step 3: Cross multiply
    426.81x = 593.09 × 422.36
  4. Step 4: Simplify right side
    426.81x = 250,492.42
  5. Step 5: Solve for x
    x = 250,492.42/426.81
  6. Step 6: Final answer
    x = 586.89

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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.