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Finding the Fourth Proportional to 673.31, 929.66 and 411.68

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Solution

The fourth proportional to 673.31, 929.66 and 411.68 is: 568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.31 : 929.66 = 411.68 : x
  2. Step 2: Convert to fraction form
    673.31/929.66 = 411.68/x
  3. Step 3: Cross multiply
    673.31x = 929.66 × 411.68
  4. Step 4: Simplify right side
    673.31x = 382,715.72
  5. Step 5: Solve for x
    x = 382,715.72/673.31
  6. Step 6: Final answer
    x = 568.41

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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.