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Finding the Fourth Proportional to 593.49, 890.46 and 268.86

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Solution

The fourth proportional to 593.49, 890.46 and 268.86 is: 403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.49 : 890.46 = 268.86 : x
  2. Step 2: Convert to fraction form
    593.49/890.46 = 268.86/x
  3. Step 3: Cross multiply
    593.49x = 890.46 × 268.86
  4. Step 4: Simplify right side
    593.49x = 239,409.08
  5. Step 5: Solve for x
    x = 239,409.08/593.49
  6. Step 6: Final answer
    x = 403.39

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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.