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Finding the Fourth Proportional to 956.19, 1,431.89 and 666.27

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Solution

The fourth proportional to 956.19, 1,431.89 and 666.27 is: 997.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.19 : 1,431.89 = 666.27 : x
  2. Step 2: Convert to fraction form
    956.19/1,431.89 = 666.27/x
  3. Step 3: Cross multiply
    956.19x = 1,431.89 × 666.27
  4. Step 4: Simplify right side
    956.19x = 954,022.02
  5. Step 5: Solve for x
    x = 954,022.02/956.19
  6. Step 6: Final answer
    x = 997.73

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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.