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Finding the Fourth Proportional to 919.12, 1,378.93 and 334.19

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Solution

The fourth proportional to 919.12, 1,378.93 and 334.19 is: 501.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.12 : 1,378.93 = 334.19 : x
  2. Step 2: Convert to fraction form
    919.12/1,378.93 = 334.19/x
  3. Step 3: Cross multiply
    919.12x = 1,378.93 × 334.19
  4. Step 4: Simplify right side
    919.12x = 460,824.62
  5. Step 5: Solve for x
    x = 460,824.62/919.12
  6. Step 6: Final answer
    x = 501.38

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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.