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Finding the Fourth Proportional to 577.77, 796.68 and 400.79

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Solution

The fourth proportional to 577.77, 796.68 and 400.79 is: 552.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.77 : 796.68 = 400.79 : x
  2. Step 2: Convert to fraction form
    577.77/796.68 = 400.79/x
  3. Step 3: Cross multiply
    577.77x = 796.68 × 400.79
  4. Step 4: Simplify right side
    577.77x = 319,297.39
  5. Step 5: Solve for x
    x = 319,297.39/577.77
  6. Step 6: Final answer
    x = 552.64

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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.