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Finding the Fourth Proportional to 950, 1,424.22 and 637.98

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Solution

The fourth proportional to 950, 1,424.22 and 637.98 is: 956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    950 : 1,424.22 = 637.98 : x
  2. Step 2: Convert to fraction form
    950/1,424.22 = 637.98/x
  3. Step 3: Cross multiply
    950x = 1,424.22 × 637.98
  4. Step 4: Simplify right side
    950x = 908,623.88
  5. Step 5: Solve for x
    x = 908,623.88/950
  6. Step 6: Final answer
    x = 956.45

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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.