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Finding the Fourth Proportional to 1,138.64, 1,707.42 and 792.14

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Solution

The fourth proportional to 1,138.64, 1,707.42 and 792.14 is: 1,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.64 : 1,707.42 = 792.14 : x
  2. Step 2: Convert to fraction form
    1,138.64/1,707.42 = 792.14/x
  3. Step 3: Cross multiply
    1,138.64x = 1,707.42 × 792.14
  4. Step 4: Simplify right side
    1,138.64x = 1,352,511.72
  5. Step 5: Solve for x
    x = 1,352,511.72/1,138.64
  6. Step 6: Final answer
    x = 1,187.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.