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Finding the Fourth Proportional to 664.44, 916.92 and 402.54

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Solution

The fourth proportional to 664.44, 916.92 and 402.54 is: 555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.44 : 916.92 = 402.54 : x
  2. Step 2: Convert to fraction form
    664.44/916.92 = 402.54/x
  3. Step 3: Cross multiply
    664.44x = 916.92 × 402.54
  4. Step 4: Simplify right side
    664.44x = 369,096.98
  5. Step 5: Solve for x
    x = 369,096.98/664.44
  6. Step 6: Final answer
    x = 555.50

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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.