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Finding the Fourth Proportional to 722.22, 996.60 and 407.53

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Solution

The fourth proportional to 722.22, 996.60 and 407.53 is: 562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.22 : 996.60 = 407.53 : x
  2. Step 2: Convert to fraction form
    722.22/996.60 = 407.53/x
  3. Step 3: Cross multiply
    722.22x = 996.60 × 407.53
  4. Step 4: Simplify right side
    722.22x = 406,147.17
  5. Step 5: Solve for x
    x = 406,147.17/722.22
  6. Step 6: Final answer
    x = 562.36

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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.