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Finding the Fourth Proportional to 664.06, 916.19 and 401.98

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Solution

The fourth proportional to 664.06, 916.19 and 401.98 is: 554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.06 : 916.19 = 401.98 : x
  2. Step 2: Convert to fraction form
    664.06/916.19 = 401.98/x
  3. Step 3: Cross multiply
    664.06x = 916.19 × 401.98
  4. Step 4: Simplify right side
    664.06x = 368,288.05
  5. Step 5: Solve for x
    x = 368,288.05/664.06
  6. Step 6: Final answer
    x = 554.60

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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.