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Finding the Fourth Proportional to 2,277.39, 3,415.83 and 611.68

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Solution

The fourth proportional to 2,277.39, 3,415.83 and 611.68 is: 917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.39 : 3,415.83 = 611.68 : x
  2. Step 2: Convert to fraction form
    2,277.39/3,415.83 = 611.68/x
  3. Step 3: Cross multiply
    2,277.39x = 3,415.83 × 611.68
  4. Step 4: Simplify right side
    2,277.39x = 2,089,396.42
  5. Step 5: Solve for x
    x = 2,089,396.42/2,277.39
  6. Step 6: Final answer
    x = 917.45

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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.