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Finding the Fourth Proportional to 664.00, 916.18 and 401.96

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Solution

The fourth proportional to 664.00, 916.18 and 401.96 is: 554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.00 : 916.18 = 401.96 : x
  2. Step 2: Convert to fraction form
    664.00/916.18 = 401.96/x
  3. Step 3: Cross multiply
    664.00x = 916.18 × 401.96
  4. Step 4: Simplify right side
    664.00x = 368,269.00
  5. Step 5: Solve for x
    x = 368,269.00/664.00
  6. Step 6: Final answer
    x = 554.62

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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.