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Finding the Fourth Proportional to 1,189.78, 1,784.64 and 324.09

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Solution

The fourth proportional to 1,189.78, 1,784.64 and 324.09 is: 486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.78 : 1,784.64 = 324.09 : x
  2. Step 2: Convert to fraction form
    1,189.78/1,784.64 = 324.09/x
  3. Step 3: Cross multiply
    1,189.78x = 1,784.64 × 324.09
  4. Step 4: Simplify right side
    1,189.78x = 578,382.36
  5. Step 5: Solve for x
    x = 578,382.36/1,189.78
  6. Step 6: Final answer
    x = 486.13

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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.