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Finding the Fourth Proportional to 576.70, 795.91 and 340.73

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Solution

The fourth proportional to 576.70, 795.91 and 340.73 is: 470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.70 : 795.91 = 340.73 : x
  2. Step 2: Convert to fraction form
    576.70/795.91 = 340.73/x
  3. Step 3: Cross multiply
    576.70x = 795.91 × 340.73
  4. Step 4: Simplify right side
    576.70x = 271,190.41
  5. Step 5: Solve for x
    x = 271,190.41/576.70
  6. Step 6: Final answer
    x = 470.25

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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.