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Finding the Fourth Proportional to 854.72, 1,280.95 and 833.25

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Solution

The fourth proportional to 854.72, 1,280.95 and 833.25 is: 1,248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.72 : 1,280.95 = 833.25 : x
  2. Step 2: Convert to fraction form
    854.72/1,280.95 = 833.25/x
  3. Step 3: Cross multiply
    854.72x = 1,280.95 × 833.25
  4. Step 4: Simplify right side
    854.72x = 1,067,351.59
  5. Step 5: Solve for x
    x = 1,067,351.59/854.72
  6. Step 6: Final answer
    x = 1,248.77

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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.