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Finding the Fourth Proportional to 776.81, 1,164.19 and 673.67

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Solution

The fourth proportional to 776.81, 1,164.19 and 673.67 is: 1,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.81 : 1,164.19 = 673.67 : x
  2. Step 2: Convert to fraction form
    776.81/1,164.19 = 673.67/x
  3. Step 3: Cross multiply
    776.81x = 1,164.19 × 673.67
  4. Step 4: Simplify right side
    776.81x = 784,274.06
  5. Step 5: Solve for x
    x = 784,274.06/776.81
  6. Step 6: Final answer
    x = 1,009.62

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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.