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Finding the Fourth Proportional to 855.88, 1,283.18 and 769

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Solution

The fourth proportional to 855.88, 1,283.18 and 769 is: 1,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.88 : 1,283.18 = 769 : x
  2. Step 2: Convert to fraction form
    855.88/1,283.18 = 769/x
  3. Step 3: Cross multiply
    855.88x = 1,283.18 × 769
  4. Step 4: Simplify right side
    855.88x = 986,765.42
  5. Step 5: Solve for x
    x = 986,765.42/855.88
  6. Step 6: Final answer
    x = 1,152.92

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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.