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Finding the Fourth Proportional to 673.92, 929.88 and 408.24

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Solution

The fourth proportional to 673.92, 929.88 and 408.24 is: 563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.92 : 929.88 = 408.24 : x
  2. Step 2: Convert to fraction form
    673.92/929.88 = 408.24/x
  3. Step 3: Cross multiply
    673.92x = 929.88 × 408.24
  4. Step 4: Simplify right side
    673.92x = 379,614.21
  5. Step 5: Solve for x
    x = 379,614.21/673.92
  6. Step 6: Final answer
    x = 563.29

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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.