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Finding the Fourth Proportional to 673.32, 929.09 and 411.29

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Solution

The fourth proportional to 673.32, 929.09 and 411.29 is: 567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.32 : 929.09 = 411.29 : x
  2. Step 2: Convert to fraction form
    673.32/929.09 = 411.29/x
  3. Step 3: Cross multiply
    673.32x = 929.09 × 411.29
  4. Step 4: Simplify right side
    673.32x = 382,118.72
  5. Step 5: Solve for x
    x = 382,118.72/673.32
  6. Step 6: Final answer
    x = 567.51

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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.