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Finding the Fourth Proportional to 664.29, 917.73 and 443.16

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Solution

The fourth proportional to 664.29, 917.73 and 443.16 is: 612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.29 : 917.73 = 443.16 : x
  2. Step 2: Convert to fraction form
    664.29/917.73 = 443.16/x
  3. Step 3: Cross multiply
    664.29x = 917.73 × 443.16
  4. Step 4: Simplify right side
    664.29x = 406,701.23
  5. Step 5: Solve for x
    x = 406,701.23/664.29
  6. Step 6: Final answer
    x = 612.23

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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.