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Finding the Fourth Proportional to 729.42, 1,008.02 and 648.42

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Solution

The fourth proportional to 729.42, 1,008.02 and 648.42 is: 896.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.42 : 1,008.02 = 648.42 : x
  2. Step 2: Convert to fraction form
    729.42/1,008.02 = 648.42/x
  3. Step 3: Cross multiply
    729.42x = 1,008.02 × 648.42
  4. Step 4: Simplify right side
    729.42x = 653,620.33
  5. Step 5: Solve for x
    x = 653,620.33/729.42
  6. Step 6: Final answer
    x = 896.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.