Home / 1,534.22-2,301.41-494.15

Finding the Fourth Proportional to 1,534.22, 2,301.41 and 494.15

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Solution

The fourth proportional to 1,534.22, 2,301.41 and 494.15 is: 741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.22 : 2,301.41 = 494.15 : x
  2. Step 2: Convert to fraction form
    1,534.22/2,301.41 = 494.15/x
  3. Step 3: Cross multiply
    1,534.22x = 2,301.41 × 494.15
  4. Step 4: Simplify right side
    1,534.22x = 1,137,230.24
  5. Step 5: Solve for x
    x = 1,137,230.24/1,534.22
  6. Step 6: Final answer
    x = 741.24

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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.