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Finding the Fourth Proportional to 592.27, 817.47 and 382.39

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Solution

The fourth proportional to 592.27, 817.47 and 382.39 is: 527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.27 : 817.47 = 382.39 : x
  2. Step 2: Convert to fraction form
    592.27/817.47 = 382.39/x
  3. Step 3: Cross multiply
    592.27x = 817.47 × 382.39
  4. Step 4: Simplify right side
    592.27x = 312,586.35
  5. Step 5: Solve for x
    x = 312,586.35/592.27
  6. Step 6: Final answer
    x = 527.78

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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.