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Finding the Fourth Proportional to 721.71, 996.27 and 526.71

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Solution

The fourth proportional to 721.71, 996.27 and 526.71 is: 727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.71 : 996.27 = 526.71 : x
  2. Step 2: Convert to fraction form
    721.71/996.27 = 526.71/x
  3. Step 3: Cross multiply
    721.71x = 996.27 × 526.71
  4. Step 4: Simplify right side
    721.71x = 524,745.37
  5. Step 5: Solve for x
    x = 524,745.37/721.71
  6. Step 6: Final answer
    x = 727.09

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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.