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Finding the Fourth Proportional to 592.43, 816.80 and 382.25

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Solution

The fourth proportional to 592.43, 816.80 and 382.25 is: 527.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.43 : 816.80 = 382.25 : x
  2. Step 2: Convert to fraction form
    592.43/816.80 = 382.25/x
  3. Step 3: Cross multiply
    592.43x = 816.80 × 382.25
  4. Step 4: Simplify right side
    592.43x = 312,215.80
  5. Step 5: Solve for x
    x = 312,215.80/592.43
  6. Step 6: Final answer
    x = 527.01

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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.