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Finding the Fourth Proportional to 887.43, 1,322.23 and 837.75

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Solution

The fourth proportional to 887.43, 1,322.23 and 837.75 is: 1,248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.43 : 1,322.23 = 837.75 : x
  2. Step 2: Convert to fraction form
    887.43/1,322.23 = 837.75/x
  3. Step 3: Cross multiply
    887.43x = 1,322.23 × 837.75
  4. Step 4: Simplify right side
    887.43x = 1,107,696.09
  5. Step 5: Solve for x
    x = 1,107,696.09/887.43
  6. Step 6: Final answer
    x = 1,248.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.