Home / 1,508.36-2,262.33-412.63

Finding the Fourth Proportional to 1,508.36, 2,262.33 and 412.63

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Solution

The fourth proportional to 1,508.36, 2,262.33 and 412.63 is: 618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.36 : 2,262.33 = 412.63 : x
  2. Step 2: Convert to fraction form
    1,508.36/2,262.33 = 412.63/x
  3. Step 3: Cross multiply
    1,508.36x = 2,262.33 × 412.63
  4. Step 4: Simplify right side
    1,508.36x = 933,499.57
  5. Step 5: Solve for x
    x = 933,499.57/1,508.36
  6. Step 6: Final answer
    x = 618.89

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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.