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Finding the Fourth Proportional to 593.41, 889.39 and 420.13

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Solution

The fourth proportional to 593.41, 889.39 and 420.13 is: 629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.41 : 889.39 = 420.13 : x
  2. Step 2: Convert to fraction form
    593.41/889.39 = 420.13/x
  3. Step 3: Cross multiply
    593.41x = 889.39 × 420.13
  4. Step 4: Simplify right side
    593.41x = 373,657.27
  5. Step 5: Solve for x
    x = 373,657.27/593.41
  6. Step 6: Final answer
    x = 629.68

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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.