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Finding the Fourth Proportional to 577.35, 796.95 and 411.66

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Solution

The fourth proportional to 577.35, 796.95 and 411.66 is: 568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.35 : 796.95 = 411.66 : x
  2. Step 2: Convert to fraction form
    577.35/796.95 = 411.66/x
  3. Step 3: Cross multiply
    577.35x = 796.95 × 411.66
  4. Step 4: Simplify right side
    577.35x = 328,072.44
  5. Step 5: Solve for x
    x = 328,072.44/577.35
  6. Step 6: Final answer
    x = 568.24

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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.