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Finding the Fourth Proportional to 433.49, 645.99 and 421.61

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Solution

The fourth proportional to 433.49, 645.99 and 421.61 is: 628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.49 : 645.99 = 421.61 : x
  2. Step 2: Convert to fraction form
    433.49/645.99 = 421.61/x
  3. Step 3: Cross multiply
    433.49x = 645.99 × 421.61
  4. Step 4: Simplify right side
    433.49x = 272,357.46
  5. Step 5: Solve for x
    x = 272,357.46/433.49
  6. Step 6: Final answer
    x = 628.29

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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.