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Finding the Fourth Proportional to 559.72, 771.60 and 393.44

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Solution

The fourth proportional to 559.72, 771.60 and 393.44 is: 542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.72 : 771.60 = 393.44 : x
  2. Step 2: Convert to fraction form
    559.72/771.60 = 393.44/x
  3. Step 3: Cross multiply
    559.72x = 771.60 × 393.44
  4. Step 4: Simplify right side
    559.72x = 303,578.30
  5. Step 5: Solve for x
    x = 303,578.30/559.72
  6. Step 6: Final answer
    x = 542.38

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1.5x scale

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.