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Finding the Fourth Proportional to 592.12, 816.90 and 385.48

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Solution

The fourth proportional to 592.12, 816.90 and 385.48 is: 531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.12 : 816.90 = 385.48 : x
  2. Step 2: Convert to fraction form
    592.12/816.90 = 385.48/x
  3. Step 3: Cross multiply
    592.12x = 816.90 × 385.48
  4. Step 4: Simplify right side
    592.12x = 314,898.61
  5. Step 5: Solve for x
    x = 314,898.61/592.12
  6. Step 6: Final answer
    x = 531.82

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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.