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Finding the Fourth Proportional to 413.91, 571.40 and 283.60

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Solution

The fourth proportional to 413.91, 571.40 and 283.60 is: 391.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.91 : 571.40 = 283.60 : x
  2. Step 2: Convert to fraction form
    413.91/571.40 = 283.60/x
  3. Step 3: Cross multiply
    413.91x = 571.40 × 283.60
  4. Step 4: Simplify right side
    413.91x = 162,049.04
  5. Step 5: Solve for x
    x = 162,049.04/413.91
  6. Step 6: Final answer
    x = 391.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.