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Finding the Fourth Proportional to 1,131.62, 1,696.89 and 438.61

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Solution

The fourth proportional to 1,131.62, 1,696.89 and 438.61 is: 657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.62 : 1,696.89 = 438.61 : x
  2. Step 2: Convert to fraction form
    1,131.62/1,696.89 = 438.61/x
  3. Step 3: Cross multiply
    1,131.62x = 1,696.89 × 438.61
  4. Step 4: Simplify right side
    1,131.62x = 744,268.68
  5. Step 5: Solve for x
    x = 744,268.68/1,131.62
  6. Step 6: Final answer
    x = 657.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.