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Finding the Fourth Proportional to 738.12, 1,105.38 and 628.80

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Solution

The fourth proportional to 738.12, 1,105.38 and 628.80 is: 941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.12 : 1,105.38 = 628.80 : x
  2. Step 2: Convert to fraction form
    738.12/1,105.38 = 628.80/x
  3. Step 3: Cross multiply
    738.12x = 1,105.38 × 628.80
  4. Step 4: Simplify right side
    738.12x = 695,062.94
  5. Step 5: Solve for x
    x = 695,062.94/738.12
  6. Step 6: Final answer
    x = 941.67

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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.