Home / 1,506.24-2,257.92-531.81

Finding the Fourth Proportional to 1,506.24, 2,257.92 and 531.81

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Solution

The fourth proportional to 1,506.24, 2,257.92 and 531.81 is: 797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.24 : 2,257.92 = 531.81 : x
  2. Step 2: Convert to fraction form
    1,506.24/2,257.92 = 531.81/x
  3. Step 3: Cross multiply
    1,506.24x = 2,257.92 × 531.81
  4. Step 4: Simplify right side
    1,506.24x = 1,200,784.44
  5. Step 5: Solve for x
    x = 1,200,784.44/1,506.24
  6. Step 6: Final answer
    x = 797.21

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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.