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Finding the Fourth Proportional to 1,048.08, 1,448.18 and 861.43

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Solution

The fourth proportional to 1,048.08, 1,448.18 and 861.43 is: 1,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.08 : 1,448.18 = 861.43 : x
  2. Step 2: Convert to fraction form
    1,048.08/1,448.18 = 861.43/x
  3. Step 3: Cross multiply
    1,048.08x = 1,448.18 × 861.43
  4. Step 4: Simplify right side
    1,048.08x = 1,247,497.77
  5. Step 5: Solve for x
    x = 1,247,497.77/1,048.08
  6. Step 6: Final answer
    x = 1,190.27

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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.