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Finding the Fourth Proportional to 419.62, 581.52 and 413.74

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Solution

The fourth proportional to 419.62, 581.52 and 413.74 is: 573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.62 : 581.52 = 413.74 : x
  2. Step 2: Convert to fraction form
    419.62/581.52 = 413.74/x
  3. Step 3: Cross multiply
    419.62x = 581.52 × 413.74
  4. Step 4: Simplify right side
    419.62x = 240,596.02
  5. Step 5: Solve for x
    x = 240,596.02/419.62
  6. Step 6: Final answer
    x = 573.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.