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Finding the Fourth Proportional to 657.75, 985.68 and 449.33

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Solution

The fourth proportional to 657.75, 985.68 and 449.33 is: 673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.75 : 985.68 = 449.33 : x
  2. Step 2: Convert to fraction form
    657.75/985.68 = 449.33/x
  3. Step 3: Cross multiply
    657.75x = 985.68 × 449.33
  4. Step 4: Simplify right side
    657.75x = 442,890.67
  5. Step 5: Solve for x
    x = 442,890.67/657.75
  6. Step 6: Final answer
    x = 673.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.