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Finding the Fourth Proportional to 1,091.02, 1,506.37 and 838.52

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Solution

The fourth proportional to 1,091.02, 1,506.37 and 838.52 is: 1,157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.02 : 1,506.37 = 838.52 : x
  2. Step 2: Convert to fraction form
    1,091.02/1,506.37 = 838.52/x
  3. Step 3: Cross multiply
    1,091.02x = 1,506.37 × 838.52
  4. Step 4: Simplify right side
    1,091.02x = 1,263,121.37
  5. Step 5: Solve for x
    x = 1,263,121.37/1,091.02
  6. Step 6: Final answer
    x = 1,157.74

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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.