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Finding the Fourth Proportional to 844.66, 1,165.84 and 513.31

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Solution

The fourth proportional to 844.66, 1,165.84 and 513.31 is: 708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.66 : 1,165.84 = 513.31 : x
  2. Step 2: Convert to fraction form
    844.66/1,165.84 = 513.31/x
  3. Step 3: Cross multiply
    844.66x = 1,165.84 × 513.31
  4. Step 4: Simplify right side
    844.66x = 598,438.21
  5. Step 5: Solve for x
    x = 598,438.21/844.66
  6. Step 6: Final answer
    x = 708.49

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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.