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Finding the Fourth Proportional to 1,252.23, 1,879.98 and 838.42

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Solution

The fourth proportional to 1,252.23, 1,879.98 and 838.42 is: 1,258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.23 : 1,879.98 = 838.42 : x
  2. Step 2: Convert to fraction form
    1,252.23/1,879.98 = 838.42/x
  3. Step 3: Cross multiply
    1,252.23x = 1,879.98 × 838.42
  4. Step 4: Simplify right side
    1,252.23x = 1,576,212.83
  5. Step 5: Solve for x
    x = 1,576,212.83/1,252.23
  6. Step 6: Final answer
    x = 1,258.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.