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Finding the Fourth Proportional to 722.88, 997.92 and 412.32

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Solution

The fourth proportional to 722.88, 997.92 and 412.32 is: 569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.88 : 997.92 = 412.32 : x
  2. Step 2: Convert to fraction form
    722.88/997.92 = 412.32/x
  3. Step 3: Cross multiply
    722.88x = 997.92 × 412.32
  4. Step 4: Simplify right side
    722.88x = 411,462.37
  5. Step 5: Solve for x
    x = 411,462.37/722.88
  6. Step 6: Final answer
    x = 569.20

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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.