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Finding the Fourth Proportional to 843.54, 1,162.26 and 646.44

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Solution

The fourth proportional to 843.54, 1,162.26 and 646.44 is: 890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.54 : 1,162.26 = 646.44 : x
  2. Step 2: Convert to fraction form
    843.54/1,162.26 = 646.44/x
  3. Step 3: Cross multiply
    843.54x = 1,162.26 × 646.44
  4. Step 4: Simplify right side
    843.54x = 751,331.35
  5. Step 5: Solve for x
    x = 751,331.35/843.54
  6. Step 6: Final answer
    x = 890.69

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1.5x scale

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.