Home / 1,022.94-1,534.58-406.66

Finding the Fourth Proportional to 1,022.94, 1,534.58 and 406.66

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Solution

The fourth proportional to 1,022.94, 1,534.58 and 406.66 is: 610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.94 : 1,534.58 = 406.66 : x
  2. Step 2: Convert to fraction form
    1,022.94/1,534.58 = 406.66/x
  3. Step 3: Cross multiply
    1,022.94x = 1,534.58 × 406.66
  4. Step 4: Simplify right side
    1,022.94x = 624,052.30
  5. Step 5: Solve for x
    x = 624,052.30/1,022.94
  6. Step 6: Final answer
    x = 610.06

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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.