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Finding the Fourth Proportional to 869.70, 1,310.94 and 819.51

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Solution

The fourth proportional to 869.70, 1,310.94 and 819.51 is: 1,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.70 : 1,310.94 = 819.51 : x
  2. Step 2: Convert to fraction form
    869.70/1,310.94 = 819.51/x
  3. Step 3: Cross multiply
    869.70x = 1,310.94 × 819.51
  4. Step 4: Simplify right side
    869.70x = 1,074,328.44
  5. Step 5: Solve for x
    x = 1,074,328.44/869.70
  6. Step 6: Final answer
    x = 1,235.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.