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Finding the Fourth Proportional to 575.79, 794.25 and 418.21

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Solution

The fourth proportional to 575.79, 794.25 and 418.21 is: 576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.79 : 794.25 = 418.21 : x
  2. Step 2: Convert to fraction form
    575.79/794.25 = 418.21/x
  3. Step 3: Cross multiply
    575.79x = 794.25 × 418.21
  4. Step 4: Simplify right side
    575.79x = 332,161.20
  5. Step 5: Solve for x
    x = 332,161.20/575.79
  6. Step 6: Final answer
    x = 576.88

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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.