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Finding the Fourth Proportional to 1,236.07, 1,705.45 and 794.57

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Solution

The fourth proportional to 1,236.07, 1,705.45 and 794.57 is: 1,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.07 : 1,705.45 = 794.57 : x
  2. Step 2: Convert to fraction form
    1,236.07/1,705.45 = 794.57/x
  3. Step 3: Cross multiply
    1,236.07x = 1,705.45 × 794.57
  4. Step 4: Simplify right side
    1,236.07x = 1,355,095.43
  5. Step 5: Solve for x
    x = 1,355,095.43/1,236.07
  6. Step 6: Final answer
    x = 1,096.30

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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.