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Finding the Fourth Proportional to 426.41, 639.61 and 289.12

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Solution

The fourth proportional to 426.41, 639.61 and 289.12 is: 433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.41 : 639.61 = 289.12 : x
  2. Step 2: Convert to fraction form
    426.41/639.61 = 289.12/x
  3. Step 3: Cross multiply
    426.41x = 639.61 × 289.12
  4. Step 4: Simplify right side
    426.41x = 184,920.85
  5. Step 5: Solve for x
    x = 184,920.85/426.41
  6. Step 6: Final answer
    x = 433.67

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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.