Home / 1,508.26-2,262.40-412.64

Finding the Fourth Proportional to 1,508.26, 2,262.40 and 412.64

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Solution

The fourth proportional to 1,508.26, 2,262.40 and 412.64 is: 618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.26 : 2,262.40 = 412.64 : x
  2. Step 2: Convert to fraction form
    1,508.26/2,262.40 = 412.64/x
  3. Step 3: Cross multiply
    1,508.26x = 2,262.40 × 412.64
  4. Step 4: Simplify right side
    1,508.26x = 933,556.74
  5. Step 5: Solve for x
    x = 933,556.74/1,508.26
  6. Step 6: Final answer
    x = 618.96

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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.