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Finding the Fourth Proportional to 842.36, 1,152.44 and 838.72

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Solution

The fourth proportional to 842.36, 1,152.44 and 838.72 is: 1,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.36 : 1,152.44 = 838.72 : x
  2. Step 2: Convert to fraction form
    842.36/1,152.44 = 838.72/x
  3. Step 3: Cross multiply
    842.36x = 1,152.44 × 838.72
  4. Step 4: Simplify right side
    842.36x = 966,574.48
  5. Step 5: Solve for x
    x = 966,574.48/842.36
  6. Step 6: Final answer
    x = 1,147.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.