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Finding the Fourth Proportional to 1,190.97, 1,641.60 and 910.71

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Solution

The fourth proportional to 1,190.97, 1,641.60 and 910.71 is: 1,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.97 : 1,641.60 = 910.71 : x
  2. Step 2: Convert to fraction form
    1,190.97/1,641.60 = 910.71/x
  3. Step 3: Cross multiply
    1,190.97x = 1,641.60 × 910.71
  4. Step 4: Simplify right side
    1,190.97x = 1,495,021.54
  5. Step 5: Solve for x
    x = 1,495,021.54/1,190.97
  6. Step 6: Final answer
    x = 1,255.30

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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.