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Finding the Fourth Proportional to 956.76, 1,433.40 and 762.96

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Solution

The fourth proportional to 956.76, 1,433.40 and 762.96 is: 1,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.76 : 1,433.40 = 762.96 : x
  2. Step 2: Convert to fraction form
    956.76/1,433.40 = 762.96/x
  3. Step 3: Cross multiply
    956.76x = 1,433.40 × 762.96
  4. Step 4: Simplify right side
    956.76x = 1,093,626.86
  5. Step 5: Solve for x
    x = 1,093,626.86/956.76
  6. Step 6: Final answer
    x = 1,143.05

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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.