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Finding the Fourth Proportional to 673.26, 929.34 and 411.30

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Solution

The fourth proportional to 673.26, 929.34 and 411.30 is: 567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.26 : 929.34 = 411.30 : x
  2. Step 2: Convert to fraction form
    673.26/929.34 = 411.30/x
  3. Step 3: Cross multiply
    673.26x = 929.34 × 411.30
  4. Step 4: Simplify right side
    673.26x = 382,237.54
  5. Step 5: Solve for x
    x = 382,237.54/673.26
  6. Step 6: Final answer
    x = 567.74

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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.