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Finding the Fourth Proportional to 854.96, 1,276.74 and 845.82

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Solution

The fourth proportional to 854.96, 1,276.74 and 845.82 is: 1,263.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.96 : 1,276.74 = 845.82 : x
  2. Step 2: Convert to fraction form
    854.96/1,276.74 = 845.82/x
  3. Step 3: Cross multiply
    854.96x = 1,276.74 × 845.82
  4. Step 4: Simplify right side
    854.96x = 1,079,892.23
  5. Step 5: Solve for x
    x = 1,079,892.23/854.96
  6. Step 6: Final answer
    x = 1,263.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.