Home / 1,172.64-1,610.40-1,006.80

Finding the Fourth Proportional to 1,172.64, 1,610.40 and 1,006.80

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Solution

The fourth proportional to 1,172.64, 1,610.40 and 1,006.80 is: 1,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.64 : 1,610.40 = 1,006.80 : x
  2. Step 2: Convert to fraction form
    1,172.64/1,610.40 = 1,006.80/x
  3. Step 3: Cross multiply
    1,172.64x = 1,610.40 × 1,006.80
  4. Step 4: Simplify right side
    1,172.64x = 1,621,350.72
  5. Step 5: Solve for x
    x = 1,621,350.72/1,172.64
  6. Step 6: Final answer
    x = 1,382.65

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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.