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Finding the Fourth Proportional to 1,381.80, 1,906.60 and 877.20

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Solution

The fourth proportional to 1,381.80, 1,906.60 and 877.20 is: 1,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.80 : 1,906.60 = 877.20 : x
  2. Step 2: Convert to fraction form
    1,381.80/1,906.60 = 877.20/x
  3. Step 3: Cross multiply
    1,381.80x = 1,906.60 × 877.20
  4. Step 4: Simplify right side
    1,381.80x = 1,672,469.52
  5. Step 5: Solve for x
    x = 1,672,469.52/1,381.80
  6. Step 6: Final answer
    x = 1,210.36

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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.