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Finding the Fourth Proportional to 591.67, 816.06 and 392.15

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Solution

The fourth proportional to 591.67, 816.06 and 392.15 is: 540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.67 : 816.06 = 392.15 : x
  2. Step 2: Convert to fraction form
    591.67/816.06 = 392.15/x
  3. Step 3: Cross multiply
    591.67x = 816.06 × 392.15
  4. Step 4: Simplify right side
    591.67x = 320,021.44
  5. Step 5: Solve for x
    x = 320,021.44/591.67
  6. Step 6: Final answer
    x = 540.88

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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.