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Finding the Fourth Proportional to 664, 916.32 and 369.31

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Solution

The fourth proportional to 664, 916.32 and 369.31 is: 509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    664 : 916.32 = 369.31 : x
  2. Step 2: Convert to fraction form
    664/916.32 = 369.31/x
  3. Step 3: Cross multiply
    664x = 916.32 × 369.31
  4. Step 4: Simplify right side
    664x = 338,406.14
  5. Step 5: Solve for x
    x = 338,406.14/664
  6. Step 6: Final answer
    x = 509.65

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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.