Home / 1,192.71-1,788.96-413.16

Finding the Fourth Proportional to 1,192.71, 1,788.96 and 413.16

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Solution

The fourth proportional to 1,192.71, 1,788.96 and 413.16 is: 619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.71 : 1,788.96 = 413.16 : x
  2. Step 2: Convert to fraction form
    1,192.71/1,788.96 = 413.16/x
  3. Step 3: Cross multiply
    1,192.71x = 1,788.96 × 413.16
  4. Step 4: Simplify right side
    1,192.71x = 739,126.71
  5. Step 5: Solve for x
    x = 739,126.71/1,192.71
  6. Step 6: Final answer
    x = 619.70

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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.