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Finding the Fourth Proportional to 1,338.72, 2,007.08 and 413.75

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Solution

The fourth proportional to 1,338.72, 2,007.08 and 413.75 is: 620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.72 : 2,007.08 = 413.75 : x
  2. Step 2: Convert to fraction form
    1,338.72/2,007.08 = 413.75/x
  3. Step 3: Cross multiply
    1,338.72x = 2,007.08 × 413.75
  4. Step 4: Simplify right side
    1,338.72x = 830,429.35
  5. Step 5: Solve for x
    x = 830,429.35/1,338.72
  6. Step 6: Final answer
    x = 620.32

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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.