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Finding the Fourth Proportional to 664.09, 916.76 and 415.78

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Solution

The fourth proportional to 664.09, 916.76 and 415.78 is: 573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.09 : 916.76 = 415.78 : x
  2. Step 2: Convert to fraction form
    664.09/916.76 = 415.78/x
  3. Step 3: Cross multiply
    664.09x = 916.76 × 415.78
  4. Step 4: Simplify right side
    664.09x = 381,166.10
  5. Step 5: Solve for x
    x = 381,166.10/664.09
  6. Step 6: Final answer
    x = 573.97

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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.