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Finding the Fourth Proportional to 432.96, 593.04 and 418.56

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Solution

The fourth proportional to 432.96, 593.04 and 418.56 is: 573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.96 : 593.04 = 418.56 : x
  2. Step 2: Convert to fraction form
    432.96/593.04 = 418.56/x
  3. Step 3: Cross multiply
    432.96x = 593.04 × 418.56
  4. Step 4: Simplify right side
    432.96x = 248,222.82
  5. Step 5: Solve for x
    x = 248,222.82/432.96
  6. Step 6: Final answer
    x = 573.32

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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.