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Finding the Fourth Proportional to 956.44, 1,433.85 and 911.08

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Solution

The fourth proportional to 956.44, 1,433.85 and 911.08 is: 1,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.44 : 1,433.85 = 911.08 : x
  2. Step 2: Convert to fraction form
    956.44/1,433.85 = 911.08/x
  3. Step 3: Cross multiply
    956.44x = 1,433.85 × 911.08
  4. Step 4: Simplify right side
    956.44x = 1,306,352.06
  5. Step 5: Solve for x
    x = 1,306,352.06/956.44
  6. Step 6: Final answer
    x = 1,365.85

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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.