Home / 1,290.23-1,935.61-412.77

Finding the Fourth Proportional to 1,290.23, 1,935.61 and 412.77

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Solution

The fourth proportional to 1,290.23, 1,935.61 and 412.77 is: 619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.23 : 1,935.61 = 412.77 : x
  2. Step 2: Convert to fraction form
    1,290.23/1,935.61 = 412.77/x
  3. Step 3: Cross multiply
    1,290.23x = 1,935.61 × 412.77
  4. Step 4: Simplify right side
    1,290.23x = 798,967.97
  5. Step 5: Solve for x
    x = 798,967.97/1,290.23
  6. Step 6: Final answer
    x = 619.25

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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.