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Finding the Fourth Proportional to 577.98, 797.22 and 412.38

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Solution

The fourth proportional to 577.98, 797.22 and 412.38 is: 568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.98 : 797.22 = 412.38 : x
  2. Step 2: Convert to fraction form
    577.98/797.22 = 412.38/x
  3. Step 3: Cross multiply
    577.98x = 797.22 × 412.38
  4. Step 4: Simplify right side
    577.98x = 328,757.58
  5. Step 5: Solve for x
    x = 328,757.58/577.98
  6. Step 6: Final answer
    x = 568.80

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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.