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Finding the Fourth Proportional to 1,116.99, 1,673.72 and 413.23

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Solution

The fourth proportional to 1,116.99, 1,673.72 and 413.23 is: 619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.99 : 1,673.72 = 413.23 : x
  2. Step 2: Convert to fraction form
    1,116.99/1,673.72 = 413.23/x
  3. Step 3: Cross multiply
    1,116.99x = 1,673.72 × 413.23
  4. Step 4: Simplify right side
    1,116.99x = 691,625.07
  5. Step 5: Solve for x
    x = 691,625.07/1,116.99
  6. Step 6: Final answer
    x = 619.19

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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.