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Finding the Fourth Proportional to 1,086.19, 1,496.41 and 888.55

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Solution

The fourth proportional to 1,086.19, 1,496.41 and 888.55 is: 1,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.19 : 1,496.41 = 888.55 : x
  2. Step 2: Convert to fraction form
    1,086.19/1,496.41 = 888.55/x
  3. Step 3: Cross multiply
    1,086.19x = 1,496.41 × 888.55
  4. Step 4: Simplify right side
    1,086.19x = 1,329,635.11
  5. Step 5: Solve for x
    x = 1,329,635.11/1,086.19
  6. Step 6: Final answer
    x = 1,224.13

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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.