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Finding the Fourth Proportional to 854.83, 1,178.44 and 689.05

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Solution

The fourth proportional to 854.83, 1,178.44 and 689.05 is: 949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.83 : 1,178.44 = 689.05 : x
  2. Step 2: Convert to fraction form
    854.83/1,178.44 = 689.05/x
  3. Step 3: Cross multiply
    854.83x = 1,178.44 × 689.05
  4. Step 4: Simplify right side
    854.83x = 812,004.08
  5. Step 5: Solve for x
    x = 812,004.08/854.83
  6. Step 6: Final answer
    x = 949.90

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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.