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Finding the Fourth Proportional to 694.97, 1,042.19 and 489.63

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Solution

The fourth proportional to 694.97, 1,042.19 and 489.63 is: 734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.97 : 1,042.19 = 489.63 : x
  2. Step 2: Convert to fraction form
    694.97/1,042.19 = 489.63/x
  3. Step 3: Cross multiply
    694.97x = 1,042.19 × 489.63
  4. Step 4: Simplify right side
    694.97x = 510,285.04
  5. Step 5: Solve for x
    x = 510,285.04/694.97
  6. Step 6: Final answer
    x = 734.26

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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.