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Finding the Fourth Proportional to 592.74, 817.91 and 330.78

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Solution

The fourth proportional to 592.74, 817.91 and 330.78 is: 456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.74 : 817.91 = 330.78 : x
  2. Step 2: Convert to fraction form
    592.74/817.91 = 330.78/x
  3. Step 3: Cross multiply
    592.74x = 817.91 × 330.78
  4. Step 4: Simplify right side
    592.74x = 270,542.53
  5. Step 5: Solve for x
    x = 270,542.53/592.74
  6. Step 6: Final answer
    x = 456.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.