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Finding the Fourth Proportional to 854.62, 1,283.46 and 786.02

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Solution

The fourth proportional to 854.62, 1,283.46 and 786.02 is: 1,180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.62 : 1,283.46 = 786.02 : x
  2. Step 2: Convert to fraction form
    854.62/1,283.46 = 786.02/x
  3. Step 3: Cross multiply
    854.62x = 1,283.46 × 786.02
  4. Step 4: Simplify right side
    854.62x = 1,008,825.23
  5. Step 5: Solve for x
    x = 1,008,825.23/854.62
  6. Step 6: Final answer
    x = 1,180.44

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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.