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Finding the Fourth Proportional to 871.36, 1,201.03 and 848.27

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Solution

The fourth proportional to 871.36, 1,201.03 and 848.27 is: 1,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.36 : 1,201.03 = 848.27 : x
  2. Step 2: Convert to fraction form
    871.36/1,201.03 = 848.27/x
  3. Step 3: Cross multiply
    871.36x = 1,201.03 × 848.27
  4. Step 4: Simplify right side
    871.36x = 1,018,798.60
  5. Step 5: Solve for x
    x = 1,018,798.60/871.36
  6. Step 6: Final answer
    x = 1,169.21

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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.