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Finding the Fourth Proportional to 1,326.23, 1,989.64 and 401.79

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Solution

The fourth proportional to 1,326.23, 1,989.64 and 401.79 is: 602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.23 : 1,989.64 = 401.79 : x
  2. Step 2: Convert to fraction form
    1,326.23/1,989.64 = 401.79/x
  3. Step 3: Cross multiply
    1,326.23x = 1,989.64 × 401.79
  4. Step 4: Simplify right side
    1,326.23x = 799,425.42
  5. Step 5: Solve for x
    x = 799,425.42/1,326.23
  6. Step 6: Final answer
    x = 602.78

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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.