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Finding the Fourth Proportional to 956.94, 1,433.01 and 667.02

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Solution

The fourth proportional to 956.94, 1,433.01 and 667.02 is: 998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.94 : 1,433.01 = 667.02 : x
  2. Step 2: Convert to fraction form
    956.94/1,433.01 = 667.02/x
  3. Step 3: Cross multiply
    956.94x = 1,433.01 × 667.02
  4. Step 4: Simplify right side
    956.94x = 955,846.33
  5. Step 5: Solve for x
    x = 955,846.33/956.94
  6. Step 6: Final answer
    x = 998.86

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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.