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Finding the Fourth Proportional to 694.64, 1,042.30 and 386.72

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Solution

The fourth proportional to 694.64, 1,042.30 and 386.72 is: 580.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.64 : 1,042.30 = 386.72 : x
  2. Step 2: Convert to fraction form
    694.64/1,042.30 = 386.72/x
  3. Step 3: Cross multiply
    694.64x = 1,042.30 × 386.72
  4. Step 4: Simplify right side
    694.64x = 403,078.26
  5. Step 5: Solve for x
    x = 403,078.26/694.64
  6. Step 6: Final answer
    x = 580.27

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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.