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Finding the Fourth Proportional to 911.84, 1,255.68 and 771.68

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Solution

The fourth proportional to 911.84, 1,255.68 and 771.68 is: 1,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.84 : 1,255.68 = 771.68 : x
  2. Step 2: Convert to fraction form
    911.84/1,255.68 = 771.68/x
  3. Step 3: Cross multiply
    911.84x = 1,255.68 × 771.68
  4. Step 4: Simplify right side
    911.84x = 968,983.14
  5. Step 5: Solve for x
    x = 968,983.14/911.84
  6. Step 6: Final answer
    x = 1,062.67

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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.