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Finding the Fourth Proportional to 1,131.05, 1,688.94 and 991.19

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Solution

The fourth proportional to 1,131.05, 1,688.94 and 991.19 is: 1,480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.05 : 1,688.94 = 991.19 : x
  2. Step 2: Convert to fraction form
    1,131.05/1,688.94 = 991.19/x
  3. Step 3: Cross multiply
    1,131.05x = 1,688.94 × 991.19
  4. Step 4: Simplify right side
    1,131.05x = 1,674,064.66
  5. Step 5: Solve for x
    x = 1,674,064.66/1,131.05
  6. Step 6: Final answer
    x = 1,480.09

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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.