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Finding the Fourth Proportional to 591.92, 816.50 and 403.19

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Solution

The fourth proportional to 591.92, 816.50 and 403.19 is: 556.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.92 : 816.50 = 403.19 : x
  2. Step 2: Convert to fraction form
    591.92/816.50 = 403.19/x
  3. Step 3: Cross multiply
    591.92x = 816.50 × 403.19
  4. Step 4: Simplify right side
    591.92x = 329,198.54
  5. Step 5: Solve for x
    x = 329,198.54/591.92
  6. Step 6: Final answer
    x = 556.16

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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.