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Finding the Fourth Proportional to 673.28, 929.14 and 378.55

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Solution

The fourth proportional to 673.28, 929.14 and 378.55 is: 522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.28 : 929.14 = 378.55 : x
  2. Step 2: Convert to fraction form
    673.28/929.14 = 378.55/x
  3. Step 3: Cross multiply
    673.28x = 929.14 × 378.55
  4. Step 4: Simplify right side
    673.28x = 351,725.95
  5. Step 5: Solve for x
    x = 351,725.95/673.28
  6. Step 6: Final answer
    x = 522.41

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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.