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Finding the Fourth Proportional to 664.54, 916.95 and 415.78

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Solution

The fourth proportional to 664.54, 916.95 and 415.78 is: 573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.54 : 916.95 = 415.78 : x
  2. Step 2: Convert to fraction form
    664.54/916.95 = 415.78/x
  3. Step 3: Cross multiply
    664.54x = 916.95 × 415.78
  4. Step 4: Simplify right side
    664.54x = 381,249.47
  5. Step 5: Solve for x
    x = 381,249.47/664.54
  6. Step 6: Final answer
    x = 573.70

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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.