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Finding the Fourth Proportional to 721.36, 995.88 and 522.64

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Solution

The fourth proportional to 721.36, 995.88 and 522.64 is: 721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.36 : 995.88 = 522.64 : x
  2. Step 2: Convert to fraction form
    721.36/995.88 = 522.64/x
  3. Step 3: Cross multiply
    721.36x = 995.88 × 522.64
  4. Step 4: Simplify right side
    721.36x = 520,486.72
  5. Step 5: Solve for x
    x = 520,486.72/721.36
  6. Step 6: Final answer
    x = 721.54

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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.