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Finding the Fourth Proportional to 413.59, 570.37 and 323.87

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Solution

The fourth proportional to 413.59, 570.37 and 323.87 is: 446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.59 : 570.37 = 323.87 : x
  2. Step 2: Convert to fraction form
    413.59/570.37 = 323.87/x
  3. Step 3: Cross multiply
    413.59x = 570.37 × 323.87
  4. Step 4: Simplify right side
    413.59x = 184,722.07
  5. Step 5: Solve for x
    x = 184,722.07/413.59
  6. Step 6: Final answer
    x = 446.63

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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.