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Finding the Fourth Proportional to 664.09, 914.23 and 576.75

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Solution

The fourth proportional to 664.09, 914.23 and 576.75 is: 794.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.09 : 914.23 = 576.75 : x
  2. Step 2: Convert to fraction form
    664.09/914.23 = 576.75/x
  3. Step 3: Cross multiply
    664.09x = 914.23 × 576.75
  4. Step 4: Simplify right side
    664.09x = 527,286.30
  5. Step 5: Solve for x
    x = 527,286.30/664.09
  6. Step 6: Final answer
    x = 794.00

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Double scale
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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.