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Finding the Fourth Proportional to 721.86, 995.13 and 514.50

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Solution

The fourth proportional to 721.86, 995.13 and 514.50 is: 709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.86 : 995.13 = 514.50 : x
  2. Step 2: Convert to fraction form
    721.86/995.13 = 514.50/x
  3. Step 3: Cross multiply
    721.86x = 995.13 × 514.50
  4. Step 4: Simplify right side
    721.86x = 511,994.39
  5. Step 5: Solve for x
    x = 511,994.39/721.86
  6. Step 6: Final answer
    x = 709.27

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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.