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Finding the Fourth Proportional to 591.12, 816.05 and 395.66

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Solution

The fourth proportional to 591.12, 816.05 and 395.66 is: 546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.12 : 816.05 = 395.66 : x
  2. Step 2: Convert to fraction form
    591.12/816.05 = 395.66/x
  3. Step 3: Cross multiply
    591.12x = 816.05 × 395.66
  4. Step 4: Simplify right side
    591.12x = 322,878.34
  5. Step 5: Solve for x
    x = 322,878.34/591.12
  6. Step 6: Final answer
    x = 546.21

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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.