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Finding the Fourth Proportional to 413.39, 619.62 and 332.29

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Solution

The fourth proportional to 413.39, 619.62 and 332.29 is: 498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.39 : 619.62 = 332.29 : x
  2. Step 2: Convert to fraction form
    413.39/619.62 = 332.29/x
  3. Step 3: Cross multiply
    413.39x = 619.62 × 332.29
  4. Step 4: Simplify right side
    413.39x = 205,893.53
  5. Step 5: Solve for x
    x = 205,893.53/413.39
  6. Step 6: Final answer
    x = 498.06

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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.