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Finding the Fourth Proportional to 729.42, 1,092.96 and 421.62

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Solution

The fourth proportional to 729.42, 1,092.96 and 421.62 is: 631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.42 : 1,092.96 = 421.62 : x
  2. Step 2: Convert to fraction form
    729.42/1,092.96 = 421.62/x
  3. Step 3: Cross multiply
    729.42x = 1,092.96 × 421.62
  4. Step 4: Simplify right side
    729.42x = 460,813.80
  5. Step 5: Solve for x
    x = 460,813.80/729.42
  6. Step 6: Final answer
    x = 631.75

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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.