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Finding the Fourth Proportional to 1,055.69, 1,583.40 and 275.75

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Solution

The fourth proportional to 1,055.69, 1,583.40 and 275.75 is: 413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.69 : 1,583.40 = 275.75 : x
  2. Step 2: Convert to fraction form
    1,055.69/1,583.40 = 275.75/x
  3. Step 3: Cross multiply
    1,055.69x = 1,583.40 × 275.75
  4. Step 4: Simplify right side
    1,055.69x = 436,619.54
  5. Step 5: Solve for x
    x = 436,619.54/1,055.69
  6. Step 6: Final answer
    x = 413.59

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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.