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Finding the Fourth Proportional to 1,138.88, 1,571.76 and 641.62

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Solution

The fourth proportional to 1,138.88, 1,571.76 and 641.62 is: 885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.88 : 1,571.76 = 641.62 : x
  2. Step 2: Convert to fraction form
    1,138.88/1,571.76 = 641.62/x
  3. Step 3: Cross multiply
    1,138.88x = 1,571.76 × 641.62
  4. Step 4: Simplify right side
    1,138.88x = 1,008,470.04
  5. Step 5: Solve for x
    x = 1,008,470.04/1,138.88
  6. Step 6: Final answer
    x = 885.49

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1.5x scale

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.