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Finding the Fourth Proportional to 591.92, 816.42 and 405.22

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Solution

The fourth proportional to 591.92, 816.42 and 405.22 is: 558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.92 : 816.42 = 405.22 : x
  2. Step 2: Convert to fraction form
    591.92/816.42 = 405.22/x
  3. Step 3: Cross multiply
    591.92x = 816.42 × 405.22
  4. Step 4: Simplify right side
    591.92x = 330,827.67
  5. Step 5: Solve for x
    x = 330,827.67/591.92
  6. Step 6: Final answer
    x = 558.90

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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.