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Finding the Fourth Proportional to 936.74, 1,293.06 and 838.32

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Solution

The fourth proportional to 936.74, 1,293.06 and 838.32 is: 1,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.74 : 1,293.06 = 838.32 : x
  2. Step 2: Convert to fraction form
    936.74/1,293.06 = 838.32/x
  3. Step 3: Cross multiply
    936.74x = 1,293.06 × 838.32
  4. Step 4: Simplify right side
    936.74x = 1,083,998.06
  5. Step 5: Solve for x
    x = 1,083,998.06/936.74
  6. Step 6: Final answer
    x = 1,157.20

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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.