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Finding the Fourth Proportional to 860.20, 1,289.22 and 475

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Solution

The fourth proportional to 860.20, 1,289.22 and 475 is: 711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.20 : 1,289.22 = 475 : x
  2. Step 2: Convert to fraction form
    860.20/1,289.22 = 475/x
  3. Step 3: Cross multiply
    860.20x = 1,289.22 × 475
  4. Step 4: Simplify right side
    860.20x = 612,379.50
  5. Step 5: Solve for x
    x = 612,379.50/860.20
  6. Step 6: Final answer
    x = 711.90

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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.