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Finding the Fourth Proportional to 673.45, 929.31 and 378.64

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Solution

The fourth proportional to 673.45, 929.31 and 378.64 is: 522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.45 : 929.31 = 378.64 : x
  2. Step 2: Convert to fraction form
    673.45/929.31 = 378.64/x
  3. Step 3: Cross multiply
    673.45x = 929.31 × 378.64
  4. Step 4: Simplify right side
    673.45x = 351,873.94
  5. Step 5: Solve for x
    x = 351,873.94/673.45
  6. Step 6: Final answer
    x = 522.49

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1.5x scale

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.