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Finding the Fourth Proportional to 599.64, 899.36 and 274.92

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Solution

The fourth proportional to 599.64, 899.36 and 274.92 is: 412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.64 : 899.36 = 274.92 : x
  2. Step 2: Convert to fraction form
    599.64/899.36 = 274.92/x
  3. Step 3: Cross multiply
    599.64x = 899.36 × 274.92
  4. Step 4: Simplify right side
    599.64x = 247,250.68
  5. Step 5: Solve for x
    x = 247,250.68/599.64
  6. Step 6: Final answer
    x = 412.33

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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.