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Finding the Fourth Proportional to 1,138.92, 1,705.14 and 1,048.20

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Solution

The fourth proportional to 1,138.92, 1,705.14 and 1,048.20 is: 1,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.92 : 1,705.14 = 1,048.20 : x
  2. Step 2: Convert to fraction form
    1,138.92/1,705.14 = 1,048.20/x
  3. Step 3: Cross multiply
    1,138.92x = 1,705.14 × 1,048.20
  4. Step 4: Simplify right side
    1,138.92x = 1,787,327.75
  5. Step 5: Solve for x
    x = 1,787,327.75/1,138.92
  6. Step 6: Final answer
    x = 1,569.32

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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.