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Finding the Fourth Proportional to 899.80, 1,350.38 and 413.19

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Solution

The fourth proportional to 899.80, 1,350.38 and 413.19 is: 620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.80 : 1,350.38 = 413.19 : x
  2. Step 2: Convert to fraction form
    899.80/1,350.38 = 413.19/x
  3. Step 3: Cross multiply
    899.80x = 1,350.38 × 413.19
  4. Step 4: Simplify right side
    899.80x = 557,963.51
  5. Step 5: Solve for x
    x = 557,963.51/899.80
  6. Step 6: Final answer
    x = 620.10

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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.