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Finding the Fourth Proportional to 843.22, 1,164.18 and 646.36

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Solution

The fourth proportional to 843.22, 1,164.18 and 646.36 is: 892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.22 : 1,164.18 = 646.36 : x
  2. Step 2: Convert to fraction form
    843.22/1,164.18 = 646.36/x
  3. Step 3: Cross multiply
    843.22x = 1,164.18 × 646.36
  4. Step 4: Simplify right side
    843.22x = 752,479.38
  5. Step 5: Solve for x
    x = 752,479.38/843.22
  6. Step 6: Final answer
    x = 892.39

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Half scale
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Double scale
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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.