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Finding the Fourth Proportional to 599.44, 899.20 and 274.64

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Solution

The fourth proportional to 599.44, 899.20 and 274.64 is: 411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.44 : 899.20 = 274.64 : x
  2. Step 2: Convert to fraction form
    599.44/899.20 = 274.64/x
  3. Step 3: Cross multiply
    599.44x = 899.20 × 274.64
  4. Step 4: Simplify right side
    599.44x = 246,956.29
  5. Step 5: Solve for x
    x = 246,956.29/599.44
  6. Step 6: Final answer
    x = 411.98

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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.