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Finding the Fourth Proportional to 413.59, 620.39 and 322.03

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Solution

The fourth proportional to 413.59, 620.39 and 322.03 is: 483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.59 : 620.39 = 322.03 : x
  2. Step 2: Convert to fraction form
    413.59/620.39 = 322.03/x
  3. Step 3: Cross multiply
    413.59x = 620.39 × 322.03
  4. Step 4: Simplify right side
    413.59x = 199,784.19
  5. Step 5: Solve for x
    x = 199,784.19/413.59
  6. Step 6: Final answer
    x = 483.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.