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Finding the Fourth Proportional to 721.48, 995.11 and 472.71

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Solution

The fourth proportional to 721.48, 995.11 and 472.71 is: 651.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.48 : 995.11 = 472.71 : x
  2. Step 2: Convert to fraction form
    721.48/995.11 = 472.71/x
  3. Step 3: Cross multiply
    721.48x = 995.11 × 472.71
  4. Step 4: Simplify right side
    721.48x = 470,398.45
  5. Step 5: Solve for x
    x = 470,398.45/721.48
  6. Step 6: Final answer
    x = 651.99

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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.