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Finding the Fourth Proportional to 673.89, 930.16 and 408.36

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Solution

The fourth proportional to 673.89, 930.16 and 408.36 is: 563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.89 : 930.16 = 408.36 : x
  2. Step 2: Convert to fraction form
    673.89/930.16 = 408.36/x
  3. Step 3: Cross multiply
    673.89x = 930.16 × 408.36
  4. Step 4: Simplify right side
    673.89x = 379,840.14
  5. Step 5: Solve for x
    x = 379,840.14/673.89
  6. Step 6: Final answer
    x = 563.65

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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.