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Finding the Fourth Proportional to 593.72, 890.22 and 420.14

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Solution

The fourth proportional to 593.72, 890.22 and 420.14 is: 629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.72 : 890.22 = 420.14 : x
  2. Step 2: Convert to fraction form
    593.72/890.22 = 420.14/x
  3. Step 3: Cross multiply
    593.72x = 890.22 × 420.14
  4. Step 4: Simplify right side
    593.72x = 374,017.03
  5. Step 5: Solve for x
    x = 374,017.03/593.72
  6. Step 6: Final answer
    x = 629.96

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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.