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Finding the Fourth Proportional to 694.67, 1,042.28 and 386.73

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Solution

The fourth proportional to 694.67, 1,042.28 and 386.73 is: 580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.67 : 1,042.28 = 386.73 : x
  2. Step 2: Convert to fraction form
    694.67/1,042.28 = 386.73/x
  3. Step 3: Cross multiply
    694.67x = 1,042.28 × 386.73
  4. Step 4: Simplify right side
    694.67x = 403,081.91
  5. Step 5: Solve for x
    x = 403,081.91/694.67
  6. Step 6: Final answer
    x = 580.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.