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Finding the Fourth Proportional to 673.85, 930.05 and 394.08

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Solution

The fourth proportional to 673.85, 930.05 and 394.08 is: 543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.85 : 930.05 = 394.08 : x
  2. Step 2: Convert to fraction form
    673.85/930.05 = 394.08/x
  3. Step 3: Cross multiply
    673.85x = 930.05 × 394.08
  4. Step 4: Simplify right side
    673.85x = 366,512.13
  5. Step 5: Solve for x
    x = 366,512.13/673.85
  6. Step 6: Final answer
    x = 543.91

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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.