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Finding the Fourth Proportional to 1,138.14, 1,577.84 and 1,085.22

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Solution

The fourth proportional to 1,138.14, 1,577.84 and 1,085.22 is: 1,504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.14 : 1,577.84 = 1,085.22 : x
  2. Step 2: Convert to fraction form
    1,138.14/1,577.84 = 1,085.22/x
  3. Step 3: Cross multiply
    1,138.14x = 1,577.84 × 1,085.22
  4. Step 4: Simplify right side
    1,138.14x = 1,712,298.10
  5. Step 5: Solve for x
    x = 1,712,298.10/1,138.14
  6. Step 6: Final answer
    x = 1,504.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.