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Finding the Fourth Proportional to 1,118.36, 1,542.58 and 855.92

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Solution

The fourth proportional to 1,118.36, 1,542.58 and 855.92 is: 1,180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.36 : 1,542.58 = 855.92 : x
  2. Step 2: Convert to fraction form
    1,118.36/1,542.58 = 855.92/x
  3. Step 3: Cross multiply
    1,118.36x = 1,542.58 × 855.92
  4. Step 4: Simplify right side
    1,118.36x = 1,320,325.07
  5. Step 5: Solve for x
    x = 1,320,325.07/1,118.36
  6. Step 6: Final answer
    x = 1,180.59

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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.