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Finding the Fourth Proportional to 623.77, 860.31 and 413.87

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Solution

The fourth proportional to 623.77, 860.31 and 413.87 is: 570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.77 : 860.31 = 413.87 : x
  2. Step 2: Convert to fraction form
    623.77/860.31 = 413.87/x
  3. Step 3: Cross multiply
    623.77x = 860.31 × 413.87
  4. Step 4: Simplify right side
    623.77x = 356,052.20
  5. Step 5: Solve for x
    x = 356,052.20/623.77
  6. Step 6: Final answer
    x = 570.81

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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.