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Finding the Fourth Proportional to 413.63, 623.43 and 391.35

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Solution

The fourth proportional to 413.63, 623.43 and 391.35 is: 589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.63 : 623.43 = 391.35 : x
  2. Step 2: Convert to fraction form
    413.63/623.43 = 391.35/x
  3. Step 3: Cross multiply
    413.63x = 623.43 × 391.35
  4. Step 4: Simplify right side
    413.63x = 243,979.33
  5. Step 5: Solve for x
    x = 243,979.33/413.63
  6. Step 6: Final answer
    x = 589.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.