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Finding the Fourth Proportional to 577.66, 796.94 and 356.23

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Solution

The fourth proportional to 577.66, 796.94 and 356.23 is: 491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.66 : 796.94 = 356.23 : x
  2. Step 2: Convert to fraction form
    577.66/796.94 = 356.23/x
  3. Step 3: Cross multiply
    577.66x = 796.94 × 356.23
  4. Step 4: Simplify right side
    577.66x = 283,893.94
  5. Step 5: Solve for x
    x = 283,893.94/577.66
  6. Step 6: Final answer
    x = 491.46

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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.