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Finding the Fourth Proportional to 433.81, 645.14 and 420.14

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Solution

The fourth proportional to 433.81, 645.14 and 420.14 is: 624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.81 : 645.14 = 420.14 : x
  2. Step 2: Convert to fraction form
    433.81/645.14 = 420.14/x
  3. Step 3: Cross multiply
    433.81x = 645.14 × 420.14
  4. Step 4: Simplify right side
    433.81x = 271,043.79
  5. Step 5: Solve for x
    x = 271,043.79/433.81
  6. Step 6: Final answer
    x = 624.81

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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.