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Finding the Fourth Proportional to 431.43, 593.92 and 389.86

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Solution

The fourth proportional to 431.43, 593.92 and 389.86 is: 536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.43 : 593.92 = 389.86 : x
  2. Step 2: Convert to fraction form
    431.43/593.92 = 389.86/x
  3. Step 3: Cross multiply
    431.43x = 593.92 × 389.86
  4. Step 4: Simplify right side
    431.43x = 231,543.19
  5. Step 5: Solve for x
    x = 231,543.19/431.43
  6. Step 6: Final answer
    x = 536.69

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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.