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Finding the Fourth Proportional to 664.43, 916.83 and 398.81

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Solution

The fourth proportional to 664.43, 916.83 and 398.81 is: 550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.43 : 916.83 = 398.81 : x
  2. Step 2: Convert to fraction form
    664.43/916.83 = 398.81/x
  3. Step 3: Cross multiply
    664.43x = 916.83 × 398.81
  4. Step 4: Simplify right side
    664.43x = 365,643.26
  5. Step 5: Solve for x
    x = 365,643.26/664.43
  6. Step 6: Final answer
    x = 550.32

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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.