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Finding the Fourth Proportional to 854.85, 1,179.02 and 618.83

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Solution

The fourth proportional to 854.85, 1,179.02 and 618.83 is: 853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.85 : 1,179.02 = 618.83 : x
  2. Step 2: Convert to fraction form
    854.85/1,179.02 = 618.83/x
  3. Step 3: Cross multiply
    854.85x = 1,179.02 × 618.83
  4. Step 4: Simplify right side
    854.85x = 729,606.90
  5. Step 5: Solve for x
    x = 729,606.90/854.85
  6. Step 6: Final answer
    x = 853.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.