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Finding the Fourth Proportional to 593.62, 890.42 and 160.78

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Solution

The fourth proportional to 593.62, 890.42 and 160.78 is: 241.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.62 : 890.42 = 160.78 : x
  2. Step 2: Convert to fraction form
    593.62/890.42 = 160.78/x
  3. Step 3: Cross multiply
    593.62x = 890.42 × 160.78
  4. Step 4: Simplify right side
    593.62x = 143,161.21
  5. Step 5: Solve for x
    x = 143,161.21/593.62
  6. Step 6: Final answer
    x = 241.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.