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Finding the Fourth Proportional to 1,191.98, 1,785.74 and 998.22

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Solution

The fourth proportional to 1,191.98, 1,785.74 and 998.22 is: 1,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.98 : 1,785.74 = 998.22 : x
  2. Step 2: Convert to fraction form
    1,191.98/1,785.74 = 998.22/x
  3. Step 3: Cross multiply
    1,191.98x = 1,785.74 × 998.22
  4. Step 4: Simplify right side
    1,191.98x = 1,782,561.38
  5. Step 5: Solve for x
    x = 1,782,561.38/1,191.98
  6. Step 6: Final answer
    x = 1,495.46

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1.5x scale

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.