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Finding the Fourth Proportional to 855.31, 1,280.91 and 580.57

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Solution

The fourth proportional to 855.31, 1,280.91 and 580.57 is: 869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.31 : 1,280.91 = 580.57 : x
  2. Step 2: Convert to fraction form
    855.31/1,280.91 = 580.57/x
  3. Step 3: Cross multiply
    855.31x = 1,280.91 × 580.57
  4. Step 4: Simplify right side
    855.31x = 743,657.92
  5. Step 5: Solve for x
    x = 743,657.92/855.31
  6. Step 6: Final answer
    x = 869.46

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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.