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Finding the Fourth Proportional to 664.27, 916.41 and 428.29

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Solution

The fourth proportional to 664.27, 916.41 and 428.29 is: 590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.27 : 916.41 = 428.29 : x
  2. Step 2: Convert to fraction form
    664.27/916.41 = 428.29/x
  3. Step 3: Cross multiply
    664.27x = 916.41 × 428.29
  4. Step 4: Simplify right side
    664.27x = 392,488.55
  5. Step 5: Solve for x
    x = 392,488.55/664.27
  6. Step 6: Final answer
    x = 590.86

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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.