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Finding the Fourth Proportional to 664.35, 916.88 and 415.95

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Solution

The fourth proportional to 664.35, 916.88 and 415.95 is: 574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.35 : 916.88 = 415.95 : x
  2. Step 2: Convert to fraction form
    664.35/916.88 = 415.95/x
  3. Step 3: Cross multiply
    664.35x = 916.88 × 415.95
  4. Step 4: Simplify right side
    664.35x = 381,374.16
  5. Step 5: Solve for x
    x = 381,374.16/664.35
  6. Step 6: Final answer
    x = 574.06

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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.