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Finding the Fourth Proportional to 855.23, 1,180.08 and 482.13

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Solution

The fourth proportional to 855.23, 1,180.08 and 482.13 is: 665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.23 : 1,180.08 = 482.13 : x
  2. Step 2: Convert to fraction form
    855.23/1,180.08 = 482.13/x
  3. Step 3: Cross multiply
    855.23x = 1,180.08 × 482.13
  4. Step 4: Simplify right side
    855.23x = 568,951.97
  5. Step 5: Solve for x
    x = 568,951.97/855.23
  6. Step 6: Final answer
    x = 665.27

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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.