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Finding the Fourth Proportional to 664.61, 916.86 and 443.35

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Solution

The fourth proportional to 664.61, 916.86 and 443.35 is: 611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.61 : 916.86 = 443.35 : x
  2. Step 2: Convert to fraction form
    664.61/916.86 = 443.35/x
  3. Step 3: Cross multiply
    664.61x = 916.86 × 443.35
  4. Step 4: Simplify right side
    664.61x = 406,489.88
  5. Step 5: Solve for x
    x = 406,489.88/664.61
  6. Step 6: Final answer
    x = 611.62

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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.