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Finding the Fourth Proportional to 1,006.87, 1,389.86 and 696.79

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Solution

The fourth proportional to 1,006.87, 1,389.86 and 696.79 is: 961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.87 : 1,389.86 = 696.79 : x
  2. Step 2: Convert to fraction form
    1,006.87/1,389.86 = 696.79/x
  3. Step 3: Cross multiply
    1,006.87x = 1,389.86 × 696.79
  4. Step 4: Simplify right side
    1,006.87x = 968,440.55
  5. Step 5: Solve for x
    x = 968,440.55/1,006.87
  6. Step 6: Final answer
    x = 961.83

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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.