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Finding the Fourth Proportional to 664.17, 916.97 and 428.24

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Solution

The fourth proportional to 664.17, 916.97 and 428.24 is: 591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.17 : 916.97 = 428.24 : x
  2. Step 2: Convert to fraction form
    664.17/916.97 = 428.24/x
  3. Step 3: Cross multiply
    664.17x = 916.97 × 428.24
  4. Step 4: Simplify right side
    664.17x = 392,683.23
  5. Step 5: Solve for x
    x = 392,683.23/664.17
  6. Step 6: Final answer
    x = 591.24

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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.