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Finding the Fourth Proportional to 855.77, 1,282.68 and 531.36

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Solution

The fourth proportional to 855.77, 1,282.68 and 531.36 is: 796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.77 : 1,282.68 = 531.36 : x
  2. Step 2: Convert to fraction form
    855.77/1,282.68 = 531.36/x
  3. Step 3: Cross multiply
    855.77x = 1,282.68 × 531.36
  4. Step 4: Simplify right side
    855.77x = 681,564.84
  5. Step 5: Solve for x
    x = 681,564.84/855.77
  6. Step 6: Final answer
    x = 796.44

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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.