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Finding the Fourth Proportional to 855.47, 1,283.52 and 578.90

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Solution

The fourth proportional to 855.47, 1,283.52 and 578.90 is: 868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.47 : 1,283.52 = 578.90 : x
  2. Step 2: Convert to fraction form
    855.47/1,283.52 = 578.90/x
  3. Step 3: Cross multiply
    855.47x = 1,283.52 × 578.90
  4. Step 4: Simplify right side
    855.47x = 743,029.73
  5. Step 5: Solve for x
    x = 743,029.73/855.47
  6. Step 6: Final answer
    x = 868.56

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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.