Home / 1,506.85-2,260.66-466.97

Finding the Fourth Proportional to 1,506.85, 2,260.66 and 466.97

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Solution

The fourth proportional to 1,506.85, 2,260.66 and 466.97 is: 700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.85 : 2,260.66 = 466.97 : x
  2. Step 2: Convert to fraction form
    1,506.85/2,260.66 = 466.97/x
  3. Step 3: Cross multiply
    1,506.85x = 2,260.66 × 466.97
  4. Step 4: Simplify right side
    1,506.85x = 1,055,648.81
  5. Step 5: Solve for x
    x = 1,055,648.81/1,506.85
  6. Step 6: Final answer
    x = 700.57

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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.