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Finding the Fourth Proportional to 722.92, 997.68 and 412.42

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Solution

The fourth proportional to 722.92, 997.68 and 412.42 is: 569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.92 : 997.68 = 412.42 : x
  2. Step 2: Convert to fraction form
    722.92/997.68 = 412.42/x
  3. Step 3: Cross multiply
    722.92x = 997.68 × 412.42
  4. Step 4: Simplify right side
    722.92x = 411,463.19
  5. Step 5: Solve for x
    x = 411,463.19/722.92
  6. Step 6: Final answer
    x = 569.17

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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.