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Finding the Fourth Proportional to 664.12, 916.27 and 369.33

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Solution

The fourth proportional to 664.12, 916.27 and 369.33 is: 509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.12 : 916.27 = 369.33 : x
  2. Step 2: Convert to fraction form
    664.12/916.27 = 369.33/x
  3. Step 3: Cross multiply
    664.12x = 916.27 × 369.33
  4. Step 4: Simplify right side
    664.12x = 338,406.00
  5. Step 5: Solve for x
    x = 338,406.00/664.12
  6. Step 6: Final answer
    x = 509.56

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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.