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Finding the Fourth Proportional to 664.12, 916.07 and 428.38

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Solution

The fourth proportional to 664.12, 916.07 and 428.38 is: 590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.12 : 916.07 = 428.38 : x
  2. Step 2: Convert to fraction form
    664.12/916.07 = 428.38/x
  3. Step 3: Cross multiply
    664.12x = 916.07 × 428.38
  4. Step 4: Simplify right side
    664.12x = 392,421.49
  5. Step 5: Solve for x
    x = 392,421.49/664.12
  6. Step 6: Final answer
    x = 590.89

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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.