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Finding the Fourth Proportional to 1,137.32, 1,568.97 and 665.23

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Solution

The fourth proportional to 1,137.32, 1,568.97 and 665.23 is: 917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.32 : 1,568.97 = 665.23 : x
  2. Step 2: Convert to fraction form
    1,137.32/1,568.97 = 665.23/x
  3. Step 3: Cross multiply
    1,137.32x = 1,568.97 × 665.23
  4. Step 4: Simplify right side
    1,137.32x = 1,043,722.13
  5. Step 5: Solve for x
    x = 1,043,722.13/1,137.32
  6. Step 6: Final answer
    x = 917.71

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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.