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Finding the Fourth Proportional to 919.72, 1,379.12 and 392.54

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Solution

The fourth proportional to 919.72, 1,379.12 and 392.54 is: 588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.72 : 1,379.12 = 392.54 : x
  2. Step 2: Convert to fraction form
    919.72/1,379.12 = 392.54/x
  3. Step 3: Cross multiply
    919.72x = 1,379.12 × 392.54
  4. Step 4: Simplify right side
    919.72x = 541,364.19
  5. Step 5: Solve for x
    x = 541,364.19/919.72
  6. Step 6: Final answer
    x = 588.62

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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.