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Finding the Fourth Proportional to 855.78, 1,283.20 and 307.66

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Solution

The fourth proportional to 855.78, 1,283.20 and 307.66 is: 461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.78 : 1,283.20 = 307.66 : x
  2. Step 2: Convert to fraction form
    855.78/1,283.20 = 307.66/x
  3. Step 3: Cross multiply
    855.78x = 1,283.20 × 307.66
  4. Step 4: Simplify right side
    855.78x = 394,789.31
  5. Step 5: Solve for x
    x = 394,789.31/855.78
  6. Step 6: Final answer
    x = 461.32

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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.