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Finding the Fourth Proportional to 597.21, 894.24 and 413.79

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Solution

The fourth proportional to 597.21, 894.24 and 413.79 is: 619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.21 : 894.24 = 413.79 : x
  2. Step 2: Convert to fraction form
    597.21/894.24 = 413.79/x
  3. Step 3: Cross multiply
    597.21x = 894.24 × 413.79
  4. Step 4: Simplify right side
    597.21x = 370,027.57
  5. Step 5: Solve for x
    x = 370,027.57/597.21
  6. Step 6: Final answer
    x = 619.59

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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.