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Finding the Fourth Proportional to 771.66, 1,158.84 and 736.92

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Solution

The fourth proportional to 771.66, 1,158.84 and 736.92 is: 1,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.66 : 1,158.84 = 736.92 : x
  2. Step 2: Convert to fraction form
    771.66/1,158.84 = 736.92/x
  3. Step 3: Cross multiply
    771.66x = 1,158.84 × 736.92
  4. Step 4: Simplify right side
    771.66x = 853,972.37
  5. Step 5: Solve for x
    x = 853,972.37/771.66
  6. Step 6: Final answer
    x = 1,106.67

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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.