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Finding the Fourth Proportional to 824.95, 1,236.21 and 413.52

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Solution

The fourth proportional to 824.95, 1,236.21 and 413.52 is: 619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.95 : 1,236.21 = 413.52 : x
  2. Step 2: Convert to fraction form
    824.95/1,236.21 = 413.52/x
  3. Step 3: Cross multiply
    824.95x = 1,236.21 × 413.52
  4. Step 4: Simplify right side
    824.95x = 511,197.56
  5. Step 5: Solve for x
    x = 511,197.56/824.95
  6. Step 6: Final answer
    x = 619.67

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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.