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Finding the Fourth Proportional to 1,112.37, 1,535.03 and 640.25

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Solution

The fourth proportional to 1,112.37, 1,535.03 and 640.25 is: 883.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.37 : 1,535.03 = 640.25 : x
  2. Step 2: Convert to fraction form
    1,112.37/1,535.03 = 640.25/x
  3. Step 3: Cross multiply
    1,112.37x = 1,535.03 × 640.25
  4. Step 4: Simplify right side
    1,112.37x = 982,792.08
  5. Step 5: Solve for x
    x = 982,792.08/1,112.37
  6. Step 6: Final answer
    x = 883.51

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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.