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Finding the Fourth Proportional to 789.04, 1,084.14 and 738.48

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Solution

The fourth proportional to 789.04, 1,084.14 and 738.48 is: 1,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.04 : 1,084.14 = 738.48 : x
  2. Step 2: Convert to fraction form
    789.04/1,084.14 = 738.48/x
  3. Step 3: Cross multiply
    789.04x = 1,084.14 × 738.48
  4. Step 4: Simplify right side
    789.04x = 800,615.71
  5. Step 5: Solve for x
    x = 800,615.71/789.04
  6. Step 6: Final answer
    x = 1,014.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.