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Finding the Fourth Proportional to 664.44, 916.64 and 402.42

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Solution

The fourth proportional to 664.44, 916.64 and 402.42 is: 555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.44 : 916.64 = 402.42 : x
  2. Step 2: Convert to fraction form
    664.44/916.64 = 402.42/x
  3. Step 3: Cross multiply
    664.44x = 916.64 × 402.42
  4. Step 4: Simplify right side
    664.44x = 368,874.27
  5. Step 5: Solve for x
    x = 368,874.27/664.44
  6. Step 6: Final answer
    x = 555.17

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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.