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Finding the Fourth Proportional to 694.61, 1,042.32 and 386.72

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Solution

The fourth proportional to 694.61, 1,042.32 and 386.72 is: 580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.61 : 1,042.32 = 386.72 : x
  2. Step 2: Convert to fraction form
    694.61/1,042.32 = 386.72/x
  3. Step 3: Cross multiply
    694.61x = 1,042.32 × 386.72
  4. Step 4: Simplify right side
    694.61x = 403,085.99
  5. Step 5: Solve for x
    x = 403,085.99/694.61
  6. Step 6: Final answer
    x = 580.31

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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.