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Finding the Fourth Proportional to 664.63, 916.90 and 398.94

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Solution

The fourth proportional to 664.63, 916.90 and 398.94 is: 550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.63 : 916.90 = 398.94 : x
  2. Step 2: Convert to fraction form
    664.63/916.90 = 398.94/x
  3. Step 3: Cross multiply
    664.63x = 916.90 × 398.94
  4. Step 4: Simplify right side
    664.63x = 365,788.09
  5. Step 5: Solve for x
    x = 365,788.09/664.63
  6. Step 6: Final answer
    x = 550.36

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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.