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Finding the Fourth Proportional to 593.85, 890.33 and 285.41

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Solution

The fourth proportional to 593.85, 890.33 and 285.41 is: 427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.85 : 890.33 = 285.41 : x
  2. Step 2: Convert to fraction form
    593.85/890.33 = 285.41/x
  3. Step 3: Cross multiply
    593.85x = 890.33 × 285.41
  4. Step 4: Simplify right side
    593.85x = 254,112.02
  5. Step 5: Solve for x
    x = 254,112.02/593.85
  6. Step 6: Final answer
    x = 427.91

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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.