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Finding the Fourth Proportional to 664.83, 916.61 and 443.61

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Solution

The fourth proportional to 664.83, 916.61 and 443.61 is: 611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.83 : 916.61 = 443.61 : x
  2. Step 2: Convert to fraction form
    664.83/916.61 = 443.61/x
  3. Step 3: Cross multiply
    664.83x = 916.61 × 443.61
  4. Step 4: Simplify right side
    664.83x = 406,615.14
  5. Step 5: Solve for x
    x = 406,615.14/664.83
  6. Step 6: Final answer
    x = 611.61

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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.