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Finding the Fourth Proportional to 722.14, 995.91 and 566.62

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Solution

The fourth proportional to 722.14, 995.91 and 566.62 is: 781.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.14 : 995.91 = 566.62 : x
  2. Step 2: Convert to fraction form
    722.14/995.91 = 566.62/x
  3. Step 3: Cross multiply
    722.14x = 995.91 × 566.62
  4. Step 4: Simplify right side
    722.14x = 564,302.52
  5. Step 5: Solve for x
    x = 564,302.52/722.14
  6. Step 6: Final answer
    x = 781.43

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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.