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Finding the Fourth Proportional to 919.26, 1,378.89 and 398.84

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Solution

The fourth proportional to 919.26, 1,378.89 and 398.84 is: 598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.26 : 1,378.89 = 398.84 : x
  2. Step 2: Convert to fraction form
    919.26/1,378.89 = 398.84/x
  3. Step 3: Cross multiply
    919.26x = 1,378.89 × 398.84
  4. Step 4: Simplify right side
    919.26x = 549,949.59
  5. Step 5: Solve for x
    x = 549,949.59/919.26
  6. Step 6: Final answer
    x = 598.25

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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.