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Finding the Fourth Proportional to 722.82, 997.47 and 412.32

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Solution

The fourth proportional to 722.82, 997.47 and 412.32 is: 568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.82 : 997.47 = 412.32 : x
  2. Step 2: Convert to fraction form
    722.82/997.47 = 412.32/x
  3. Step 3: Cross multiply
    722.82x = 997.47 × 412.32
  4. Step 4: Simplify right side
    722.82x = 411,276.83
  5. Step 5: Solve for x
    x = 411,276.83/722.82
  6. Step 6: Final answer
    x = 568.99

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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.