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Finding the Fourth Proportional to 1,112.98, 1,536.13 and 641.19

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Solution

The fourth proportional to 1,112.98, 1,536.13 and 641.19 is: 884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.98 : 1,536.13 = 641.19 : x
  2. Step 2: Convert to fraction form
    1,112.98/1,536.13 = 641.19/x
  3. Step 3: Cross multiply
    1,112.98x = 1,536.13 × 641.19
  4. Step 4: Simplify right side
    1,112.98x = 984,947.99
  5. Step 5: Solve for x
    x = 984,947.99/1,112.98
  6. Step 6: Final answer
    x = 884.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.