Home / 1,189.24-1,784.56-540.16

Finding the Fourth Proportional to 1,189.24, 1,784.56 and 540.16

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Solution

The fourth proportional to 1,189.24, 1,784.56 and 540.16 is: 810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.24 : 1,784.56 = 540.16 : x
  2. Step 2: Convert to fraction form
    1,189.24/1,784.56 = 540.16/x
  3. Step 3: Cross multiply
    1,189.24x = 1,784.56 × 540.16
  4. Step 4: Simplify right side
    1,189.24x = 963,947.93
  5. Step 5: Solve for x
    x = 963,947.93/1,189.24
  6. Step 6: Final answer
    x = 810.56

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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.