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Finding the Fourth Proportional to 433.16, 644.23 and 420.20

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Solution

The fourth proportional to 433.16, 644.23 and 420.20 is: 624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.16 : 644.23 = 420.20 : x
  2. Step 2: Convert to fraction form
    433.16/644.23 = 420.20/x
  3. Step 3: Cross multiply
    433.16x = 644.23 × 420.20
  4. Step 4: Simplify right side
    433.16x = 270,705.45
  5. Step 5: Solve for x
    x = 270,705.45/433.16
  6. Step 6: Final answer
    x = 624.95

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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.