Home / 1,508.36-2,262.53-412.73

Finding the Fourth Proportional to 1,508.36, 2,262.53 and 412.73

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Solution

The fourth proportional to 1,508.36, 2,262.53 and 412.73 is: 619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.36 : 2,262.53 = 412.73 : x
  2. Step 2: Convert to fraction form
    1,508.36/2,262.53 = 412.73/x
  3. Step 3: Cross multiply
    1,508.36x = 2,262.53 × 412.73
  4. Step 4: Simplify right side
    1,508.36x = 933,820.70
  5. Step 5: Solve for x
    x = 933,820.70/1,508.36
  6. Step 6: Final answer
    x = 619.10

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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.