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Finding the Fourth Proportional to 1,112.41, 1,535.10 and 640.32

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Solution

The fourth proportional to 1,112.41, 1,535.10 and 640.32 is: 883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.41 : 1,535.10 = 640.32 : x
  2. Step 2: Convert to fraction form
    1,112.41/1,535.10 = 640.32/x
  3. Step 3: Cross multiply
    1,112.41x = 1,535.10 × 640.32
  4. Step 4: Simplify right side
    1,112.41x = 982,947.56
  5. Step 5: Solve for x
    x = 982,947.56/1,112.41
  6. Step 6: Final answer
    x = 883.62

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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.