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Finding the Fourth Proportional to 432.70, 593.15 and 426.22

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Solution

The fourth proportional to 432.70, 593.15 and 426.22 is: 584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.70 : 593.15 = 426.22 : x
  2. Step 2: Convert to fraction form
    432.70/593.15 = 426.22/x
  3. Step 3: Cross multiply
    432.70x = 593.15 × 426.22
  4. Step 4: Simplify right side
    432.70x = 252,812.39
  5. Step 5: Solve for x
    x = 252,812.39/432.70
  6. Step 6: Final answer
    x = 584.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.