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Finding the Fourth Proportional to 956.84, 1,321.36 and 824.61

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Solution

The fourth proportional to 956.84, 1,321.36 and 824.61 is: 1,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.84 : 1,321.36 = 824.61 : x
  2. Step 2: Convert to fraction form
    956.84/1,321.36 = 824.61/x
  3. Step 3: Cross multiply
    956.84x = 1,321.36 × 824.61
  4. Step 4: Simplify right side
    956.84x = 1,089,604.29
  5. Step 5: Solve for x
    x = 1,089,604.29/956.84
  6. Step 6: Final answer
    x = 1,138.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.