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Finding the Fourth Proportional to 447.53, 617.02 and 289.89

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Solution

The fourth proportional to 447.53, 617.02 and 289.89 is: 399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.53 : 617.02 = 289.89 : x
  2. Step 2: Convert to fraction form
    447.53/617.02 = 289.89/x
  3. Step 3: Cross multiply
    447.53x = 617.02 × 289.89
  4. Step 4: Simplify right side
    447.53x = 178,864.12
  5. Step 5: Solve for x
    x = 178,864.12/447.53
  6. Step 6: Final answer
    x = 399.67

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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.