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Finding the Fourth Proportional to 855.72, 1,284.80 and 816.57

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Solution

The fourth proportional to 855.72, 1,284.80 and 816.57 is: 1,226.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.72 : 1,284.80 = 816.57 : x
  2. Step 2: Convert to fraction form
    855.72/1,284.80 = 816.57/x
  3. Step 3: Cross multiply
    855.72x = 1,284.80 × 816.57
  4. Step 4: Simplify right side
    855.72x = 1,049,125.05
  5. Step 5: Solve for x
    x = 1,049,125.05/855.72
  6. Step 6: Final answer
    x = 1,226.01

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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.