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Finding the Fourth Proportional to 855.23, 1,180.32 and 482.28

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Solution

The fourth proportional to 855.23, 1,180.32 and 482.28 is: 665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.23 : 1,180.32 = 482.28 : x
  2. Step 2: Convert to fraction form
    855.23/1,180.32 = 482.28/x
  3. Step 3: Cross multiply
    855.23x = 1,180.32 × 482.28
  4. Step 4: Simplify right side
    855.23x = 569,244.73
  5. Step 5: Solve for x
    x = 569,244.73/855.23
  6. Step 6: Final answer
    x = 665.60

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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.