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Finding the Fourth Proportional to 592.38, 817.90 and 396.46

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Solution

The fourth proportional to 592.38, 817.90 and 396.46 is: 547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.38 : 817.90 = 396.46 : x
  2. Step 2: Convert to fraction form
    592.38/817.90 = 396.46/x
  3. Step 3: Cross multiply
    592.38x = 817.90 × 396.46
  4. Step 4: Simplify right side
    592.38x = 324,264.67
  5. Step 5: Solve for x
    x = 324,264.67/592.38
  6. Step 6: Final answer
    x = 547.39

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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.