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Finding the Fourth Proportional to 1,138.82, 1,571.54 and 641.45

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Solution

The fourth proportional to 1,138.82, 1,571.54 and 641.45 is: 885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.82 : 1,571.54 = 641.45 : x
  2. Step 2: Convert to fraction form
    1,138.82/1,571.54 = 641.45/x
  3. Step 3: Cross multiply
    1,138.82x = 1,571.54 × 641.45
  4. Step 4: Simplify right side
    1,138.82x = 1,008,053.27
  5. Step 5: Solve for x
    x = 1,008,053.27/1,138.82
  6. Step 6: Final answer
    x = 885.18

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