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Finding the Fourth Proportional to 855.33, 1,283.42 and 393.06

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Solution

The fourth proportional to 855.33, 1,283.42 and 393.06 is: 589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.33 : 1,283.42 = 393.06 : x
  2. Step 2: Convert to fraction form
    855.33/1,283.42 = 393.06/x
  3. Step 3: Cross multiply
    855.33x = 1,283.42 × 393.06
  4. Step 4: Simplify right side
    855.33x = 504,459.10
  5. Step 5: Solve for x
    x = 504,459.10/855.33
  6. Step 6: Final answer
    x = 589.78

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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.