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Finding the Fourth Proportional to 942.05, 1,297.13 and 836.96

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Solution

The fourth proportional to 942.05, 1,297.13 and 836.96 is: 1,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.05 : 1,297.13 = 836.96 : x
  2. Step 2: Convert to fraction form
    942.05/1,297.13 = 836.96/x
  3. Step 3: Cross multiply
    942.05x = 1,297.13 × 836.96
  4. Step 4: Simplify right side
    942.05x = 1,085,635.25
  5. Step 5: Solve for x
    x = 1,085,635.25/942.05
  6. Step 6: Final answer
    x = 1,152.42

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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.