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Finding the Fourth Proportional to 1,103.82, 1,523.32 and 730.14

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Solution

The fourth proportional to 1,103.82, 1,523.32 and 730.14 is: 1,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.82 : 1,523.32 = 730.14 : x
  2. Step 2: Convert to fraction form
    1,103.82/1,523.32 = 730.14/x
  3. Step 3: Cross multiply
    1,103.82x = 1,523.32 × 730.14
  4. Step 4: Simplify right side
    1,103.82x = 1,112,236.86
  5. Step 5: Solve for x
    x = 1,112,236.86/1,103.82
  6. Step 6: Final answer
    x = 1,007.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.