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Finding the Fourth Proportional to 532.98, 798.48 and 327.48

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Solution

The fourth proportional to 532.98, 798.48 and 327.48 is: 490.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.98 : 798.48 = 327.48 : x
  2. Step 2: Convert to fraction form
    532.98/798.48 = 327.48/x
  3. Step 3: Cross multiply
    532.98x = 798.48 × 327.48
  4. Step 4: Simplify right side
    532.98x = 261,486.23
  5. Step 5: Solve for x
    x = 261,486.23/532.98
  6. Step 6: Final answer
    x = 490.61

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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.