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Finding the Fourth Proportional to 664.52, 916.79 and 415.75

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Solution

The fourth proportional to 664.52, 916.79 and 415.75 is: 573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.52 : 916.79 = 415.75 : x
  2. Step 2: Convert to fraction form
    664.52/916.79 = 415.75/x
  3. Step 3: Cross multiply
    664.52x = 916.79 × 415.75
  4. Step 4: Simplify right side
    664.52x = 381,150.86
  5. Step 5: Solve for x
    x = 381,150.86/664.52
  6. Step 6: Final answer
    x = 573.57

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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.