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Finding the Fourth Proportional to 852.99, 1,279.80 and 689.97

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Solution

The fourth proportional to 852.99, 1,279.80 and 689.97 is: 1,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.99 : 1,279.80 = 689.97 : x
  2. Step 2: Convert to fraction form
    852.99/1,279.80 = 689.97/x
  3. Step 3: Cross multiply
    852.99x = 1,279.80 × 689.97
  4. Step 4: Simplify right side
    852.99x = 883,028.41
  5. Step 5: Solve for x
    x = 883,028.41/852.99
  6. Step 6: Final answer
    x = 1,035.22

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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.