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Finding the Fourth Proportional to 558.72, 771.12 and 443.16

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Solution

The fourth proportional to 558.72, 771.12 and 443.16 is: 611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.72 : 771.12 = 443.16 : x
  2. Step 2: Convert to fraction form
    558.72/771.12 = 443.16/x
  3. Step 3: Cross multiply
    558.72x = 771.12 × 443.16
  4. Step 4: Simplify right side
    558.72x = 341,729.54
  5. Step 5: Solve for x
    x = 341,729.54/558.72
  6. Step 6: Final answer
    x = 611.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.