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Finding the Fourth Proportional to 860.67, 1,289.84 and 628.47

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Solution

The fourth proportional to 860.67, 1,289.84 and 628.47 is: 941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.67 : 1,289.84 = 628.47 : x
  2. Step 2: Convert to fraction form
    860.67/1,289.84 = 628.47/x
  3. Step 3: Cross multiply
    860.67x = 1,289.84 × 628.47
  4. Step 4: Simplify right side
    860.67x = 810,622.60
  5. Step 5: Solve for x
    x = 810,622.60/860.67
  6. Step 6: Final answer
    x = 941.85

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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.