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Finding the Fourth Proportional to 721.57, 995.74 and 525.91

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Solution

The fourth proportional to 721.57, 995.74 and 525.91 is: 725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.57 : 995.74 = 525.91 : x
  2. Step 2: Convert to fraction form
    721.57/995.74 = 525.91/x
  3. Step 3: Cross multiply
    721.57x = 995.74 × 525.91
  4. Step 4: Simplify right side
    721.57x = 523,669.62
  5. Step 5: Solve for x
    x = 523,669.62/721.57
  6. Step 6: Final answer
    x = 725.74

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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.