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Finding the Fourth Proportional to 722.37, 996.93 and 407.69

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Solution

The fourth proportional to 722.37, 996.93 and 407.69 is: 562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.37 : 996.93 = 407.69 : x
  2. Step 2: Convert to fraction form
    722.37/996.93 = 407.69/x
  3. Step 3: Cross multiply
    722.37x = 996.93 × 407.69
  4. Step 4: Simplify right side
    722.37x = 406,433.41
  5. Step 5: Solve for x
    x = 406,433.41/722.37
  6. Step 6: Final answer
    x = 562.64

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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.