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Finding the Fourth Proportional to 611.32, 843.14 and 493.26

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Solution

The fourth proportional to 611.32, 843.14 and 493.26 is: 680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.32 : 843.14 = 493.26 : x
  2. Step 2: Convert to fraction form
    611.32/843.14 = 493.26/x
  3. Step 3: Cross multiply
    611.32x = 843.14 × 493.26
  4. Step 4: Simplify right side
    611.32x = 415,887.24
  5. Step 5: Solve for x
    x = 415,887.24/611.32
  6. Step 6: Final answer
    x = 680.31

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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.