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Finding the Fourth Proportional to 577.56, 796.77 and 390.98

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Solution

The fourth proportional to 577.56, 796.77 and 390.98 is: 539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.56 : 796.77 = 390.98 : x
  2. Step 2: Convert to fraction form
    577.56/796.77 = 390.98/x
  3. Step 3: Cross multiply
    577.56x = 796.77 × 390.98
  4. Step 4: Simplify right side
    577.56x = 311,521.13
  5. Step 5: Solve for x
    x = 311,521.13/577.56
  6. Step 6: Final answer
    x = 539.37

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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.