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Finding the Fourth Proportional to 664.19, 916.16 and 428.43

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Solution

The fourth proportional to 664.19, 916.16 and 428.43 is: 590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.19 : 916.16 = 428.43 : x
  2. Step 2: Convert to fraction form
    664.19/916.16 = 428.43/x
  3. Step 3: Cross multiply
    664.19x = 916.16 × 428.43
  4. Step 4: Simplify right side
    664.19x = 392,508.29
  5. Step 5: Solve for x
    x = 392,508.29/664.19
  6. Step 6: Final answer
    x = 590.96

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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.