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Finding the Fourth Proportional to 433.55, 645.97 and 421.94

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Solution

The fourth proportional to 433.55, 645.97 and 421.94 is: 628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.55 : 645.97 = 421.94 : x
  2. Step 2: Convert to fraction form
    433.55/645.97 = 421.94/x
  3. Step 3: Cross multiply
    433.55x = 645.97 × 421.94
  4. Step 4: Simplify right side
    433.55x = 272,556.30
  5. Step 5: Solve for x
    x = 272,556.30/433.55
  6. Step 6: Final answer
    x = 628.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.