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Finding the Fourth Proportional to 689.97, 951.71 and 493.59

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Solution

The fourth proportional to 689.97, 951.71 and 493.59 is: 680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.97 : 951.71 = 493.59 : x
  2. Step 2: Convert to fraction form
    689.97/951.71 = 493.59/x
  3. Step 3: Cross multiply
    689.97x = 951.71 × 493.59
  4. Step 4: Simplify right side
    689.97x = 469,752.07
  5. Step 5: Solve for x
    x = 469,752.07/689.97
  6. Step 6: Final answer
    x = 680.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.