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Finding the Fourth Proportional to 644.94, 967.96 and 280.02

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Solution

The fourth proportional to 644.94, 967.96 and 280.02 is: 420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.94 : 967.96 = 280.02 : x
  2. Step 2: Convert to fraction form
    644.94/967.96 = 280.02/x
  3. Step 3: Cross multiply
    644.94x = 967.96 × 280.02
  4. Step 4: Simplify right side
    644.94x = 271,048.16
  5. Step 5: Solve for x
    x = 271,048.16/644.94
  6. Step 6: Final answer
    x = 420.27

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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.