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Finding the Fourth Proportional to 694.21, 1,040.62 and 386.20

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Solution

The fourth proportional to 694.21, 1,040.62 and 386.20 is: 578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.21 : 1,040.62 = 386.20 : x
  2. Step 2: Convert to fraction form
    694.21/1,040.62 = 386.20/x
  3. Step 3: Cross multiply
    694.21x = 1,040.62 × 386.20
  4. Step 4: Simplify right side
    694.21x = 401,887.44
  5. Step 5: Solve for x
    x = 401,887.44/694.21
  6. Step 6: Final answer
    x = 578.91

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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.