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Finding the Fourth Proportional to 1,221.36, 1,832.02 and 399.64

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Solution

The fourth proportional to 1,221.36, 1,832.02 and 399.64 is: 599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.36 : 1,832.02 = 399.64 : x
  2. Step 2: Convert to fraction form
    1,221.36/1,832.02 = 399.64/x
  3. Step 3: Cross multiply
    1,221.36x = 1,832.02 × 399.64
  4. Step 4: Simplify right side
    1,221.36x = 732,148.47
  5. Step 5: Solve for x
    x = 732,148.47/1,221.36
  6. Step 6: Final answer
    x = 599.45

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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.