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Finding the Fourth Proportional to 591.92, 816.90 and 359.18

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Solution

The fourth proportional to 591.92, 816.90 and 359.18 is: 495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.92 : 816.90 = 359.18 : x
  2. Step 2: Convert to fraction form
    591.92/816.90 = 359.18/x
  3. Step 3: Cross multiply
    591.92x = 816.90 × 359.18
  4. Step 4: Simplify right side
    591.92x = 293,414.14
  5. Step 5: Solve for x
    x = 293,414.14/591.92
  6. Step 6: Final answer
    x = 495.70

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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.