Home / 1,022.80-1,534.20-982.30

Finding the Fourth Proportional to 1,022.80, 1,534.20 and 982.30

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Solution

The fourth proportional to 1,022.80, 1,534.20 and 982.30 is: 1,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.80 : 1,534.20 = 982.30 : x
  2. Step 2: Convert to fraction form
    1,022.80/1,534.20 = 982.30/x
  3. Step 3: Cross multiply
    1,022.80x = 1,534.20 × 982.30
  4. Step 4: Simplify right side
    1,022.80x = 1,507,044.66
  5. Step 5: Solve for x
    x = 1,507,044.66/1,022.80
  6. Step 6: Final answer
    x = 1,473.45

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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.