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Finding the Fourth Proportional to 919.70, 1,379.76 and 270.49

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Solution

The fourth proportional to 919.70, 1,379.76 and 270.49 is: 405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.70 : 1,379.76 = 270.49 : x
  2. Step 2: Convert to fraction form
    919.70/1,379.76 = 270.49/x
  3. Step 3: Cross multiply
    919.70x = 1,379.76 × 270.49
  4. Step 4: Simplify right side
    919.70x = 373,211.28
  5. Step 5: Solve for x
    x = 373,211.28/919.70
  6. Step 6: Final answer
    x = 405.80

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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.