Home / 1,056.06-1,584.33-406.98

Finding the Fourth Proportional to 1,056.06, 1,584.33 and 406.98

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Solution

The fourth proportional to 1,056.06, 1,584.33 and 406.98 is: 610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.06 : 1,584.33 = 406.98 : x
  2. Step 2: Convert to fraction form
    1,056.06/1,584.33 = 406.98/x
  3. Step 3: Cross multiply
    1,056.06x = 1,584.33 × 406.98
  4. Step 4: Simplify right side
    1,056.06x = 644,790.62
  5. Step 5: Solve for x
    x = 644,790.62/1,056.06
  6. Step 6: Final answer
    x = 610.56

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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.