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Finding the Fourth Proportional to 673.44, 929.31 and 378.78

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Solution

The fourth proportional to 673.44, 929.31 and 378.78 is: 522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.44 : 929.31 = 378.78 : x
  2. Step 2: Convert to fraction form
    673.44/929.31 = 378.78/x
  3. Step 3: Cross multiply
    673.44x = 929.31 × 378.78
  4. Step 4: Simplify right side
    673.44x = 352,004.04
  5. Step 5: Solve for x
    x = 352,004.04/673.44
  6. Step 6: Final answer
    x = 522.70

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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.