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Finding the Fourth Proportional to 673.71, 929.69 and 378.98

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Solution

The fourth proportional to 673.71, 929.69 and 378.98 is: 522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.71 : 929.69 = 378.98 : x
  2. Step 2: Convert to fraction form
    673.71/929.69 = 378.98/x
  3. Step 3: Cross multiply
    673.71x = 929.69 × 378.98
  4. Step 4: Simplify right side
    673.71x = 352,329.27
  5. Step 5: Solve for x
    x = 352,329.27/673.71
  6. Step 6: Final answer
    x = 522.97

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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.