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Finding the Fourth Proportional to 576.70, 795.82 and 340.66

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Solution

The fourth proportional to 576.70, 795.82 and 340.66 is: 470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.70 : 795.82 = 340.66 : x
  2. Step 2: Convert to fraction form
    576.70/795.82 = 340.66/x
  3. Step 3: Cross multiply
    576.70x = 795.82 × 340.66
  4. Step 4: Simplify right side
    576.70x = 271,102.63
  5. Step 5: Solve for x
    x = 271,102.63/576.70
  6. Step 6: Final answer
    x = 470.09

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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.