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Finding the Fourth Proportional to 919.98, 1,377.09 and 657.54

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Solution

The fourth proportional to 919.98, 1,377.09 and 657.54 is: 984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.98 : 1,377.09 = 657.54 : x
  2. Step 2: Convert to fraction form
    919.98/1,377.09 = 657.54/x
  3. Step 3: Cross multiply
    919.98x = 1,377.09 × 657.54
  4. Step 4: Simplify right side
    919.98x = 905,491.76
  5. Step 5: Solve for x
    x = 905,491.76/919.98
  6. Step 6: Final answer
    x = 984.25

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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.