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Finding the Fourth Proportional to 2,170, 3,255.02 and 526.55

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Solution

The fourth proportional to 2,170, 3,255.02 and 526.55 is: 789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170 : 3,255.02 = 526.55 : x
  2. Step 2: Convert to fraction form
    2,170/3,255.02 = 526.55/x
  3. Step 3: Cross multiply
    2,170x = 3,255.02 × 526.55
  4. Step 4: Simplify right side
    2,170x = 1,713,930.78
  5. Step 5: Solve for x
    x = 1,713,930.78/2,170
  6. Step 6: Final answer
    x = 789.83

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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.