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Finding the Fourth Proportional to 598.96, 899.04 and 274.56

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Solution

The fourth proportional to 598.96, 899.04 and 274.56 is: 412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.96 : 899.04 = 274.56 : x
  2. Step 2: Convert to fraction form
    598.96/899.04 = 274.56/x
  3. Step 3: Cross multiply
    598.96x = 899.04 × 274.56
  4. Step 4: Simplify right side
    598.96x = 246,840.42
  5. Step 5: Solve for x
    x = 246,840.42/598.96
  6. Step 6: Final answer
    x = 412.12

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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.