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Finding the Fourth Proportional to 532.38, 799.64 and 327.35

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Solution

The fourth proportional to 532.38, 799.64 and 327.35 is: 491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.38 : 799.64 = 327.35 : x
  2. Step 2: Convert to fraction form
    532.38/799.64 = 327.35/x
  3. Step 3: Cross multiply
    532.38x = 799.64 × 327.35
  4. Step 4: Simplify right side
    532.38x = 261,763.74
  5. Step 5: Solve for x
    x = 261,763.74/532.38
  6. Step 6: Final answer
    x = 491.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.