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Finding the Fourth Proportional to 723, 997.86 and 412.68

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Solution

The fourth proportional to 723, 997.86 and 412.68 is: 569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    723 : 997.86 = 412.68 : x
  2. Step 2: Convert to fraction form
    723/997.86 = 412.68/x
  3. Step 3: Cross multiply
    723x = 997.86 × 412.68
  4. Step 4: Simplify right side
    723x = 411,796.86
  5. Step 5: Solve for x
    x = 411,796.86/723
  6. Step 6: Final answer
    x = 569.57

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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.