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Finding the Fourth Proportional to 729.09, 1,006.17 and 490.14

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Solution

The fourth proportional to 729.09, 1,006.17 and 490.14 is: 676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.09 : 1,006.17 = 490.14 : x
  2. Step 2: Convert to fraction form
    729.09/1,006.17 = 490.14/x
  3. Step 3: Cross multiply
    729.09x = 1,006.17 × 490.14
  4. Step 4: Simplify right side
    729.09x = 493,164.16
  5. Step 5: Solve for x
    x = 493,164.16/729.09
  6. Step 6: Final answer
    x = 676.41

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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.