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Finding the Fourth Proportional to 413.28, 619.60 and 377.60

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Solution

The fourth proportional to 413.28, 619.60 and 377.60 is: 566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.28 : 619.60 = 377.60 : x
  2. Step 2: Convert to fraction form
    413.28/619.60 = 377.60/x
  3. Step 3: Cross multiply
    413.28x = 619.60 × 377.60
  4. Step 4: Simplify right side
    413.28x = 233,960.96
  5. Step 5: Solve for x
    x = 233,960.96/413.28
  6. Step 6: Final answer
    x = 566.11

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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.