Home / 1,022.34-1,534.01-406.03

Finding the Fourth Proportional to 1,022.34, 1,534.01 and 406.03

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Solution

The fourth proportional to 1,022.34, 1,534.01 and 406.03 is: 609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.34 : 1,534.01 = 406.03 : x
  2. Step 2: Convert to fraction form
    1,022.34/1,534.01 = 406.03/x
  3. Step 3: Cross multiply
    1,022.34x = 1,534.01 × 406.03
  4. Step 4: Simplify right side
    1,022.34x = 622,851.26
  5. Step 5: Solve for x
    x = 622,851.26/1,022.34
  6. Step 6: Final answer
    x = 609.24

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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.