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Finding the Fourth Proportional to 413.37, 615.80 and 392.31

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Solution

The fourth proportional to 413.37, 615.80 and 392.31 is: 584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.37 : 615.80 = 392.31 : x
  2. Step 2: Convert to fraction form
    413.37/615.80 = 392.31/x
  3. Step 3: Cross multiply
    413.37x = 615.80 × 392.31
  4. Step 4: Simplify right side
    413.37x = 241,585.48
  5. Step 5: Solve for x
    x = 241,585.48/413.37
  6. Step 6: Final answer
    x = 584.43

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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.