Home / 1,197.07-1,783.26-1,160.80

Finding the Fourth Proportional to 1,197.07, 1,783.26 and 1,160.80

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Solution

The fourth proportional to 1,197.07, 1,783.26 and 1,160.80 is: 1,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.07 : 1,783.26 = 1,160.80 : x
  2. Step 2: Convert to fraction form
    1,197.07/1,783.26 = 1,160.80/x
  3. Step 3: Cross multiply
    1,197.07x = 1,783.26 × 1,160.80
  4. Step 4: Simplify right side
    1,197.07x = 2,070,003.75
  5. Step 5: Solve for x
    x = 2,070,003.75/1,197.07
  6. Step 6: Final answer
    x = 1,729.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.