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Finding the Fourth Proportional to 577.40, 796.56 and 390.83

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Solution

The fourth proportional to 577.40, 796.56 and 390.83 is: 539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.40 : 796.56 = 390.83 : x
  2. Step 2: Convert to fraction form
    577.40/796.56 = 390.83/x
  3. Step 3: Cross multiply
    577.40x = 796.56 × 390.83
  4. Step 4: Simplify right side
    577.40x = 311,315.56
  5. Step 5: Solve for x
    x = 311,315.56/577.40
  6. Step 6: Final answer
    x = 539.17

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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.