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Finding the Fourth Proportional to 1,221.63, 1,832.25 and 399.72

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Solution

The fourth proportional to 1,221.63, 1,832.25 and 399.72 is: 599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.63 : 1,832.25 = 399.72 : x
  2. Step 2: Convert to fraction form
    1,221.63/1,832.25 = 399.72/x
  3. Step 3: Cross multiply
    1,221.63x = 1,832.25 × 399.72
  4. Step 4: Simplify right side
    1,221.63x = 732,386.97
  5. Step 5: Solve for x
    x = 732,386.97/1,221.63
  6. Step 6: Final answer
    x = 599.52

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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.