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Finding the Fourth Proportional to 855.64, 1,283.56 and 270.68

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Solution

The fourth proportional to 855.64, 1,283.56 and 270.68 is: 406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.64 : 1,283.56 = 270.68 : x
  2. Step 2: Convert to fraction form
    855.64/1,283.56 = 270.68/x
  3. Step 3: Cross multiply
    855.64x = 1,283.56 × 270.68
  4. Step 4: Simplify right side
    855.64x = 347,434.02
  5. Step 5: Solve for x
    x = 347,434.02/855.64
  6. Step 6: Final answer
    x = 406.05

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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.