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Finding the Fourth Proportional to 664.79, 996.89 and 391.01

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Solution

The fourth proportional to 664.79, 996.89 and 391.01 is: 586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.79 : 996.89 = 391.01 : x
  2. Step 2: Convert to fraction form
    664.79/996.89 = 391.01/x
  3. Step 3: Cross multiply
    664.79x = 996.89 × 391.01
  4. Step 4: Simplify right side
    664.79x = 389,787.02
  5. Step 5: Solve for x
    x = 389,787.02/664.79
  6. Step 6: Final answer
    x = 586.34

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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.