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Finding the Fourth Proportional to 593.44, 890.20 and 454.81

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Solution

The fourth proportional to 593.44, 890.20 and 454.81 is: 682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.44 : 890.20 = 454.81 : x
  2. Step 2: Convert to fraction form
    593.44/890.20 = 454.81/x
  3. Step 3: Cross multiply
    593.44x = 890.20 × 454.81
  4. Step 4: Simplify right side
    593.44x = 404,869.59
  5. Step 5: Solve for x
    x = 404,869.59/593.44
  6. Step 6: Final answer
    x = 682.25

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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.