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Finding the Fourth Proportional to 855.70, 1,283.63 and 627.43

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Solution

The fourth proportional to 855.70, 1,283.63 and 627.43 is: 941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.70 : 1,283.63 = 627.43 : x
  2. Step 2: Convert to fraction form
    855.70/1,283.63 = 627.43/x
  3. Step 3: Cross multiply
    855.70x = 1,283.63 × 627.43
  4. Step 4: Simplify right side
    855.70x = 805,387.97
  5. Step 5: Solve for x
    x = 805,387.97/855.70
  6. Step 6: Final answer
    x = 941.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.