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Finding the Fourth Proportional to 865.53, 1,291.44 and 813

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Solution

The fourth proportional to 865.53, 1,291.44 and 813 is: 1,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.53 : 1,291.44 = 813 : x
  2. Step 2: Convert to fraction form
    865.53/1,291.44 = 813/x
  3. Step 3: Cross multiply
    865.53x = 1,291.44 × 813
  4. Step 4: Simplify right side
    865.53x = 1,049,940.72
  5. Step 5: Solve for x
    x = 1,049,940.72/865.53
  6. Step 6: Final answer
    x = 1,213.06

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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.