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Finding the Fourth Proportional to 722.39, 996.83 and 407.64

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Solution

The fourth proportional to 722.39, 996.83 and 407.64 is: 562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.39 : 996.83 = 407.64 : x
  2. Step 2: Convert to fraction form
    722.39/996.83 = 407.64/x
  3. Step 3: Cross multiply
    722.39x = 996.83 × 407.64
  4. Step 4: Simplify right side
    722.39x = 406,345.74
  5. Step 5: Solve for x
    x = 406,345.74/722.39
  6. Step 6: Final answer
    x = 562.51

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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.