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Finding the Fourth Proportional to 433.96, 650.63 and 351.95

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Solution

The fourth proportional to 433.96, 650.63 and 351.95 is: 527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.96 : 650.63 = 351.95 : x
  2. Step 2: Convert to fraction form
    433.96/650.63 = 351.95/x
  3. Step 3: Cross multiply
    433.96x = 650.63 × 351.95
  4. Step 4: Simplify right side
    433.96x = 228,986.86
  5. Step 5: Solve for x
    x = 228,986.86/433.96
  6. Step 6: Final answer
    x = 527.67

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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.