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Finding the Fourth Proportional to 501.17, 752.09 and 327.58

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Solution

The fourth proportional to 501.17, 752.09 and 327.58 is: 491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.17 : 752.09 = 327.58 : x
  2. Step 2: Convert to fraction form
    501.17/752.09 = 327.58/x
  3. Step 3: Cross multiply
    501.17x = 752.09 × 327.58
  4. Step 4: Simplify right side
    501.17x = 246,366.12
  5. Step 5: Solve for x
    x = 246,366.12/501.17
  6. Step 6: Final answer
    x = 491.59

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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.