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Finding the Fourth Proportional to 846.82, 1,260.17 and 814.01

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Solution

The fourth proportional to 846.82, 1,260.17 and 814.01 is: 1,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.82 : 1,260.17 = 814.01 : x
  2. Step 2: Convert to fraction form
    846.82/1,260.17 = 814.01/x
  3. Step 3: Cross multiply
    846.82x = 1,260.17 × 814.01
  4. Step 4: Simplify right side
    846.82x = 1,025,790.98
  5. Step 5: Solve for x
    x = 1,025,790.98/846.82
  6. Step 6: Final answer
    x = 1,211.34

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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.