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Finding the Fourth Proportional to 884.05, 1,326.48 and 421.84

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Solution

The fourth proportional to 884.05, 1,326.48 and 421.84 is: 632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.05 : 1,326.48 = 421.84 : x
  2. Step 2: Convert to fraction form
    884.05/1,326.48 = 421.84/x
  3. Step 3: Cross multiply
    884.05x = 1,326.48 × 421.84
  4. Step 4: Simplify right side
    884.05x = 559,562.32
  5. Step 5: Solve for x
    x = 559,562.32/884.05
  6. Step 6: Final answer
    x = 632.95

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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.