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Finding the Fourth Proportional to 591.37, 816.07 and 325.81

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Solution

The fourth proportional to 591.37, 816.07 and 325.81 is: 449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.37 : 816.07 = 325.81 : x
  2. Step 2: Convert to fraction form
    591.37/816.07 = 325.81/x
  3. Step 3: Cross multiply
    591.37x = 816.07 × 325.81
  4. Step 4: Simplify right side
    591.37x = 265,883.77
  5. Step 5: Solve for x
    x = 265,883.77/591.37
  6. Step 6: Final answer
    x = 449.61

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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.