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Finding the Fourth Proportional to 664.84, 997.02 and 280.12

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Solution

The fourth proportional to 664.84, 997.02 and 280.12 is: 420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.84 : 997.02 = 280.12 : x
  2. Step 2: Convert to fraction form
    664.84/997.02 = 280.12/x
  3. Step 3: Cross multiply
    664.84x = 997.02 × 280.12
  4. Step 4: Simplify right side
    664.84x = 279,285.24
  5. Step 5: Solve for x
    x = 279,285.24/664.84
  6. Step 6: Final answer
    x = 420.08

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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.