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Finding the Fourth Proportional to 1,221.51, 1,832.09 and 399.77

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Solution

The fourth proportional to 1,221.51, 1,832.09 and 399.77 is: 599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.51 : 1,832.09 = 399.77 : x
  2. Step 2: Convert to fraction form
    1,221.51/1,832.09 = 399.77/x
  3. Step 3: Cross multiply
    1,221.51x = 1,832.09 × 399.77
  4. Step 4: Simplify right side
    1,221.51x = 732,403.46
  5. Step 5: Solve for x
    x = 732,403.46/1,221.51
  6. Step 6: Final answer
    x = 599.59

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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.