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Finding the Fourth Proportional to 664.15, 916.56 and 428.23

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Solution

The fourth proportional to 664.15, 916.56 and 428.23 is: 590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.15 : 916.56 = 428.23 : x
  2. Step 2: Convert to fraction form
    664.15/916.56 = 428.23/x
  3. Step 3: Cross multiply
    664.15x = 916.56 × 428.23
  4. Step 4: Simplify right side
    664.15x = 392,498.49
  5. Step 5: Solve for x
    x = 392,498.49/664.15
  6. Step 6: Final answer
    x = 590.98

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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.