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Finding the Fourth Proportional to 2,419.48, 3,628.98 and 775.74

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Solution

The fourth proportional to 2,419.48, 3,628.98 and 775.74 is: 1,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.48 : 3,628.98 = 775.74 : x
  2. Step 2: Convert to fraction form
    2,419.48/3,628.98 = 775.74/x
  3. Step 3: Cross multiply
    2,419.48x = 3,628.98 × 775.74
  4. Step 4: Simplify right side
    2,419.48x = 2,815,144.95
  5. Step 5: Solve for x
    x = 2,815,144.95/2,419.48
  6. Step 6: Final answer
    x = 1,163.53

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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.