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Finding the Fourth Proportional to 481.88, 719.29 and 413.84

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Solution

The fourth proportional to 481.88, 719.29 and 413.84 is: 617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.88 : 719.29 = 413.84 : x
  2. Step 2: Convert to fraction form
    481.88/719.29 = 413.84/x
  3. Step 3: Cross multiply
    481.88x = 719.29 × 413.84
  4. Step 4: Simplify right side
    481.88x = 297,666.34
  5. Step 5: Solve for x
    x = 297,666.34/481.88
  6. Step 6: Final answer
    x = 617.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.