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Finding the Fourth Proportional to 721.42, 995.50 and 406.67

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Solution

The fourth proportional to 721.42, 995.50 and 406.67 is: 561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.42 : 995.50 = 406.67 : x
  2. Step 2: Convert to fraction form
    721.42/995.50 = 406.67/x
  3. Step 3: Cross multiply
    721.42x = 995.50 × 406.67
  4. Step 4: Simplify right side
    721.42x = 404,839.99
  5. Step 5: Solve for x
    x = 404,839.99/721.42
  6. Step 6: Final answer
    x = 561.17

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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.