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Finding the Fourth Proportional to 853.48, 1,179.62 and 752.36

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Solution

The fourth proportional to 853.48, 1,179.62 and 752.36 is: 1,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.48 : 1,179.62 = 752.36 : x
  2. Step 2: Convert to fraction form
    853.48/1,179.62 = 752.36/x
  3. Step 3: Cross multiply
    853.48x = 1,179.62 × 752.36
  4. Step 4: Simplify right side
    853.48x = 887,498.90
  5. Step 5: Solve for x
    x = 887,498.90/853.48
  6. Step 6: Final answer
    x = 1,039.86

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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.