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Finding the Fourth Proportional to 843.35, 1,160.84 and 738.18

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Solution

The fourth proportional to 843.35, 1,160.84 and 738.18 is: 1,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.35 : 1,160.84 = 738.18 : x
  2. Step 2: Convert to fraction form
    843.35/1,160.84 = 738.18/x
  3. Step 3: Cross multiply
    843.35x = 1,160.84 × 738.18
  4. Step 4: Simplify right side
    843.35x = 856,910.72
  5. Step 5: Solve for x
    x = 856,910.72/843.35
  6. Step 6: Final answer
    x = 1,016.09

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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.