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Finding the Fourth Proportional to 919.88, 1,371.61 and 881.48

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Solution

The fourth proportional to 919.88, 1,371.61 and 881.48 is: 1,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.88 : 1,371.61 = 881.48 : x
  2. Step 2: Convert to fraction form
    919.88/1,371.61 = 881.48/x
  3. Step 3: Cross multiply
    919.88x = 1,371.61 × 881.48
  4. Step 4: Simplify right side
    919.88x = 1,209,046.78
  5. Step 5: Solve for x
    x = 1,209,046.78/919.88
  6. Step 6: Final answer
    x = 1,314.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.