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Finding the Fourth Proportional to 673.68, 929.68 and 378.92

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Solution

The fourth proportional to 673.68, 929.68 and 378.92 is: 522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.68 : 929.68 = 378.92 : x
  2. Step 2: Convert to fraction form
    673.68/929.68 = 378.92/x
  3. Step 3: Cross multiply
    673.68x = 929.68 × 378.92
  4. Step 4: Simplify right side
    673.68x = 352,274.35
  5. Step 5: Solve for x
    x = 352,274.35/673.68
  6. Step 6: Final answer
    x = 522.91

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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.