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Finding the Fourth Proportional to 577.85, 798.09 and 382.24

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Solution

The fourth proportional to 577.85, 798.09 and 382.24 is: 527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.85 : 798.09 = 382.24 : x
  2. Step 2: Convert to fraction form
    577.85/798.09 = 382.24/x
  3. Step 3: Cross multiply
    577.85x = 798.09 × 382.24
  4. Step 4: Simplify right side
    577.85x = 305,061.92
  5. Step 5: Solve for x
    x = 305,061.92/577.85
  6. Step 6: Final answer
    x = 527.93

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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.