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Finding the Fourth Proportional to 919.48, 1,377.87 and 687.28

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Solution

The fourth proportional to 919.48, 1,377.87 and 687.28 is: 1,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.48 : 1,377.87 = 687.28 : x
  2. Step 2: Convert to fraction form
    919.48/1,377.87 = 687.28/x
  3. Step 3: Cross multiply
    919.48x = 1,377.87 × 687.28
  4. Step 4: Simplify right side
    919.48x = 946,982.49
  5. Step 5: Solve for x
    x = 946,982.49/919.48
  6. Step 6: Final answer
    x = 1,029.91

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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.