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Finding the Fourth Proportional to 526.69, 727.17 and 327.73

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Solution

The fourth proportional to 526.69, 727.17 and 327.73 is: 452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.69 : 727.17 = 327.73 : x
  2. Step 2: Convert to fraction form
    526.69/727.17 = 327.73/x
  3. Step 3: Cross multiply
    526.69x = 727.17 × 327.73
  4. Step 4: Simplify right side
    526.69x = 238,315.42
  5. Step 5: Solve for x
    x = 238,315.42/526.69
  6. Step 6: Final answer
    x = 452.48

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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.