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Finding the Fourth Proportional to 919.81, 1,378.17 and 658.48

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Solution

The fourth proportional to 919.81, 1,378.17 and 658.48 is: 986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.81 : 1,378.17 = 658.48 : x
  2. Step 2: Convert to fraction form
    919.81/1,378.17 = 658.48/x
  3. Step 3: Cross multiply
    919.81x = 1,378.17 × 658.48
  4. Step 4: Simplify right side
    919.81x = 907,497.38
  5. Step 5: Solve for x
    x = 907,497.38/919.81
  6. Step 6: Final answer
    x = 986.61

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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.