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Finding the Fourth Proportional to 413.56, 617.77 and 332.56

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Solution

The fourth proportional to 413.56, 617.77 and 332.56 is: 496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.56 : 617.77 = 332.56 : x
  2. Step 2: Convert to fraction form
    413.56/617.77 = 332.56/x
  3. Step 3: Cross multiply
    413.56x = 617.77 × 332.56
  4. Step 4: Simplify right side
    413.56x = 205,445.59
  5. Step 5: Solve for x
    x = 205,445.59/413.56
  6. Step 6: Final answer
    x = 496.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.