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Finding the Fourth Proportional to 664.08, 916.43 and 369.35

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Solution

The fourth proportional to 664.08, 916.43 and 369.35 is: 509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.08 : 916.43 = 369.35 : x
  2. Step 2: Convert to fraction form
    664.08/916.43 = 369.35/x
  3. Step 3: Cross multiply
    664.08x = 916.43 × 369.35
  4. Step 4: Simplify right side
    664.08x = 338,476.99
  5. Step 5: Solve for x
    x = 338,476.99/664.08
  6. Step 6: Final answer
    x = 509.69

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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.