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Finding the Fourth Proportional to 673.84, 929.96 and 412.03

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Solution

The fourth proportional to 673.84, 929.96 and 412.03 is: 568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.84 : 929.96 = 412.03 : x
  2. Step 2: Convert to fraction form
    673.84/929.96 = 412.03/x
  3. Step 3: Cross multiply
    673.84x = 929.96 × 412.03
  4. Step 4: Simplify right side
    673.84x = 383,167.80
  5. Step 5: Solve for x
    x = 383,167.80/673.84
  6. Step 6: Final answer
    x = 568.64

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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.