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Finding the Fourth Proportional to 592.78, 817.99 and 344.11

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Solution

The fourth proportional to 592.78, 817.99 and 344.11 is: 474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.78 : 817.99 = 344.11 : x
  2. Step 2: Convert to fraction form
    592.78/817.99 = 344.11/x
  3. Step 3: Cross multiply
    592.78x = 817.99 × 344.11
  4. Step 4: Simplify right side
    592.78x = 281,478.54
  5. Step 5: Solve for x
    x = 281,478.54/592.78
  6. Step 6: Final answer
    x = 474.84

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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.