Home / 1,506.82-2,260.20-411.28

Finding the Fourth Proportional to 1,506.82, 2,260.20 and 411.28

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Solution

The fourth proportional to 1,506.82, 2,260.20 and 411.28 is: 616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.82 : 2,260.20 = 411.28 : x
  2. Step 2: Convert to fraction form
    1,506.82/2,260.20 = 411.28/x
  3. Step 3: Cross multiply
    1,506.82x = 2,260.20 × 411.28
  4. Step 4: Simplify right side
    1,506.82x = 929,575.06
  5. Step 5: Solve for x
    x = 929,575.06/1,506.82
  6. Step 6: Final answer
    x = 616.91

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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.