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Finding the Fourth Proportional to 623.85, 860.27 and 413.96

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Solution

The fourth proportional to 623.85, 860.27 and 413.96 is: 570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.85 : 860.27 = 413.96 : x
  2. Step 2: Convert to fraction form
    623.85/860.27 = 413.96/x
  3. Step 3: Cross multiply
    623.85x = 860.27 × 413.96
  4. Step 4: Simplify right side
    623.85x = 356,114.10
  5. Step 5: Solve for x
    x = 356,114.10/623.85
  6. Step 6: Final answer
    x = 570.83

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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.