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Finding the Fourth Proportional to 919.43, 1,379.02 and 364.40

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Solution

The fourth proportional to 919.43, 1,379.02 and 364.40 is: 546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.43 : 1,379.02 = 364.40 : x
  2. Step 2: Convert to fraction form
    919.43/1,379.02 = 364.40/x
  3. Step 3: Cross multiply
    919.43x = 1,379.02 × 364.40
  4. Step 4: Simplify right side
    919.43x = 502,514.89
  5. Step 5: Solve for x
    x = 502,514.89/919.43
  6. Step 6: Final answer
    x = 546.55

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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.