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Finding the Fourth Proportional to 919.74, 1,379.88 and 343.02

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Solution

The fourth proportional to 919.74, 1,379.88 and 343.02 is: 514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.74 : 1,379.88 = 343.02 : x
  2. Step 2: Convert to fraction form
    919.74/1,379.88 = 343.02/x
  3. Step 3: Cross multiply
    919.74x = 1,379.88 × 343.02
  4. Step 4: Simplify right side
    919.74x = 473,326.44
  5. Step 5: Solve for x
    x = 473,326.44/919.74
  6. Step 6: Final answer
    x = 514.63

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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.