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Finding the Fourth Proportional to 1,310.83, 1,800.86 and 1,172.78

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Solution

The fourth proportional to 1,310.83, 1,800.86 and 1,172.78 is: 1,611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.83 : 1,800.86 = 1,172.78 : x
  2. Step 2: Convert to fraction form
    1,310.83/1,800.86 = 1,172.78/x
  3. Step 3: Cross multiply
    1,310.83x = 1,800.86 × 1,172.78
  4. Step 4: Simplify right side
    1,310.83x = 2,112,007.77
  5. Step 5: Solve for x
    x = 2,112,007.77/1,310.83
  6. Step 6: Final answer
    x = 1,611.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.