Home / 1,022.12-1,399.95-962.27

Finding the Fourth Proportional to 1,022.12, 1,399.95 and 962.27

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Solution

The fourth proportional to 1,022.12, 1,399.95 and 962.27 is: 1,317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.12 : 1,399.95 = 962.27 : x
  2. Step 2: Convert to fraction form
    1,022.12/1,399.95 = 962.27/x
  3. Step 3: Cross multiply
    1,022.12x = 1,399.95 × 962.27
  4. Step 4: Simplify right side
    1,022.12x = 1,347,122.89
  5. Step 5: Solve for x
    x = 1,347,122.89/1,022.12
  6. Step 6: Final answer
    x = 1,317.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.