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Finding the Fourth Proportional to 969.69, 1,337.70 and 689.97

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Solution

The fourth proportional to 969.69, 1,337.70 and 689.97 is: 951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.69 : 1,337.70 = 689.97 : x
  2. Step 2: Convert to fraction form
    969.69/1,337.70 = 689.97/x
  3. Step 3: Cross multiply
    969.69x = 1,337.70 × 689.97
  4. Step 4: Simplify right side
    969.69x = 922,972.87
  5. Step 5: Solve for x
    x = 922,972.87/969.69
  6. Step 6: Final answer
    x = 951.82

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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.