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Finding the Fourth Proportional to 721.71, 995.94 and 535.41

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Solution

The fourth proportional to 721.71, 995.94 and 535.41 is: 738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.71 : 995.94 = 535.41 : x
  2. Step 2: Convert to fraction form
    721.71/995.94 = 535.41/x
  3. Step 3: Cross multiply
    721.71x = 995.94 × 535.41
  4. Step 4: Simplify right side
    721.71x = 533,236.24
  5. Step 5: Solve for x
    x = 533,236.24/721.71
  6. Step 6: Final answer
    x = 738.85

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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.