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Finding the Fourth Proportional to 670.62, 1,004.01 and 413.34

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Solution

The fourth proportional to 670.62, 1,004.01 and 413.34 is: 618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.62 : 1,004.01 = 413.34 : x
  2. Step 2: Convert to fraction form
    670.62/1,004.01 = 413.34/x
  3. Step 3: Cross multiply
    670.62x = 1,004.01 × 413.34
  4. Step 4: Simplify right side
    670.62x = 414,997.49
  5. Step 5: Solve for x
    x = 414,997.49/670.62
  6. Step 6: Final answer
    x = 618.83

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