Home / 1,508.52-2,262.48-412.60

Finding the Fourth Proportional to 1,508.52, 2,262.48 and 412.60

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Solution

The fourth proportional to 1,508.52, 2,262.48 and 412.60 is: 618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.52 : 2,262.48 = 412.60 : x
  2. Step 2: Convert to fraction form
    1,508.52/2,262.48 = 412.60/x
  3. Step 3: Cross multiply
    1,508.52x = 2,262.48 × 412.60
  4. Step 4: Simplify right side
    1,508.52x = 933,499.25
  5. Step 5: Solve for x
    x = 933,499.25/1,508.52
  6. Step 6: Final answer
    x = 618.82

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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.