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Finding the Fourth Proportional to 991.05, 1,485.50 and 413.25

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Solution

The fourth proportional to 991.05, 1,485.50 and 413.25 is: 619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.05 : 1,485.50 = 413.25 : x
  2. Step 2: Convert to fraction form
    991.05/1,485.50 = 413.25/x
  3. Step 3: Cross multiply
    991.05x = 1,485.50 × 413.25
  4. Step 4: Simplify right side
    991.05x = 613,880.81
  5. Step 5: Solve for x
    x = 613,880.81/991.05
  6. Step 6: Final answer
    x = 619.42

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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.