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Finding the Fourth Proportional to 591.39, 815.94 and 355.27

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Solution

The fourth proportional to 591.39, 815.94 and 355.27 is: 490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.39 : 815.94 = 355.27 : x
  2. Step 2: Convert to fraction form
    591.39/815.94 = 355.27/x
  3. Step 3: Cross multiply
    591.39x = 815.94 × 355.27
  4. Step 4: Simplify right side
    591.39x = 289,879.00
  5. Step 5: Solve for x
    x = 289,879.00/591.39
  6. Step 6: Final answer
    x = 490.17

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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.