Home / 1,191.56-1,786.23-497.80

Finding the Fourth Proportional to 1,191.56, 1,786.23 and 497.80

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Solution

The fourth proportional to 1,191.56, 1,786.23 and 497.80 is: 746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.56 : 1,786.23 = 497.80 : x
  2. Step 2: Convert to fraction form
    1,191.56/1,786.23 = 497.80/x
  3. Step 3: Cross multiply
    1,191.56x = 1,786.23 × 497.80
  4. Step 4: Simplify right side
    1,191.56x = 889,180.83
  5. Step 5: Solve for x
    x = 889,180.83/1,191.56
  6. Step 6: Final answer
    x = 746.23

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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.