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Finding the Fourth Proportional to 644.10, 959.52 and 612.42

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Solution

The fourth proportional to 644.10, 959.52 and 612.42 is: 912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.10 : 959.52 = 612.42 : x
  2. Step 2: Convert to fraction form
    644.10/959.52 = 612.42/x
  3. Step 3: Cross multiply
    644.10x = 959.52 × 612.42
  4. Step 4: Simplify right side
    644.10x = 587,629.24
  5. Step 5: Solve for x
    x = 587,629.24/644.10
  6. Step 6: Final answer
    x = 912.33

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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.