Home / 1,189.13-1,783.80-409.10

Finding the Fourth Proportional to 1,189.13, 1,783.80 and 409.10

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Solution

The fourth proportional to 1,189.13, 1,783.80 and 409.10 is: 613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.13 : 1,783.80 = 409.10 : x
  2. Step 2: Convert to fraction form
    1,189.13/1,783.80 = 409.10/x
  3. Step 3: Cross multiply
    1,189.13x = 1,783.80 × 409.10
  4. Step 4: Simplify right side
    1,189.13x = 729,743.66
  5. Step 5: Solve for x
    x = 729,743.66/1,189.13
  6. Step 6: Final answer
    x = 613.68

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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.