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Finding the Fourth Proportional to 845.35, 1,164.22 and 827.19

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Solution

The fourth proportional to 845.35, 1,164.22 and 827.19 is: 1,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.35 : 1,164.22 = 827.19 : x
  2. Step 2: Convert to fraction form
    845.35/1,164.22 = 827.19/x
  3. Step 3: Cross multiply
    845.35x = 1,164.22 × 827.19
  4. Step 4: Simplify right side
    845.35x = 963,029.07
  5. Step 5: Solve for x
    x = 963,029.07/845.35
  6. Step 6: Final answer
    x = 1,139.21

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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.