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Finding the Fourth Proportional to 664.60, 916.98 and 415.90

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Solution

The fourth proportional to 664.60, 916.98 and 415.90 is: 573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.60 : 916.98 = 415.90 : x
  2. Step 2: Convert to fraction form
    664.60/916.98 = 415.90/x
  3. Step 3: Cross multiply
    664.60x = 916.98 × 415.90
  4. Step 4: Simplify right side
    664.60x = 381,371.98
  5. Step 5: Solve for x
    x = 381,371.98/664.60
  6. Step 6: Final answer
    x = 573.84

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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.