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Finding the Fourth Proportional to 611, 842.28 and 527.68

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Solution

The fourth proportional to 611, 842.28 and 527.68 is: 727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    611 : 842.28 = 527.68 : x
  2. Step 2: Convert to fraction form
    611/842.28 = 527.68/x
  3. Step 3: Cross multiply
    611x = 842.28 × 527.68
  4. Step 4: Simplify right side
    611x = 444,454.31
  5. Step 5: Solve for x
    x = 444,454.31/611
  6. Step 6: Final answer
    x = 727.42

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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.