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Finding the Fourth Proportional to 1,072.08, 1,478.52 and 906.12

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Solution

The fourth proportional to 1,072.08, 1,478.52 and 906.12 is: 1,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.08 : 1,478.52 = 906.12 : x
  2. Step 2: Convert to fraction form
    1,072.08/1,478.52 = 906.12/x
  3. Step 3: Cross multiply
    1,072.08x = 1,478.52 × 906.12
  4. Step 4: Simplify right side
    1,072.08x = 1,339,716.54
  5. Step 5: Solve for x
    x = 1,339,716.54/1,072.08
  6. Step 6: Final answer
    x = 1,249.64

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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.