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Finding the Fourth Proportional to 1,205.40, 1,663.70 and 812.19

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Solution

The fourth proportional to 1,205.40, 1,663.70 and 812.19 is: 1,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.40 : 1,663.70 = 812.19 : x
  2. Step 2: Convert to fraction form
    1,205.40/1,663.70 = 812.19/x
  3. Step 3: Cross multiply
    1,205.40x = 1,663.70 × 812.19
  4. Step 4: Simplify right side
    1,205.40x = 1,351,236.44
  5. Step 5: Solve for x
    x = 1,351,236.44/1,205.40
  6. Step 6: Final answer
    x = 1,120.99

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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.