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Finding the Fourth Proportional to 577.70, 798.27 and 411.62

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Solution

The fourth proportional to 577.70, 798.27 and 411.62 is: 568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.70 : 798.27 = 411.62 : x
  2. Step 2: Convert to fraction form
    577.70/798.27 = 411.62/x
  3. Step 3: Cross multiply
    577.70x = 798.27 × 411.62
  4. Step 4: Simplify right side
    577.70x = 328,581.84
  5. Step 5: Solve for x
    x = 328,581.84/577.70
  6. Step 6: Final answer
    x = 568.78

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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.