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Finding the Fourth Proportional to 846.92, 1,278.04 and 817.94

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Solution

The fourth proportional to 846.92, 1,278.04 and 817.94 is: 1,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.92 : 1,278.04 = 817.94 : x
  2. Step 2: Convert to fraction form
    846.92/1,278.04 = 817.94/x
  3. Step 3: Cross multiply
    846.92x = 1,278.04 × 817.94
  4. Step 4: Simplify right side
    846.92x = 1,045,360.04
  5. Step 5: Solve for x
    x = 1,045,360.04/846.92
  6. Step 6: Final answer
    x = 1,234.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.