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Finding the Fourth Proportional to 673.67, 929.71 and 378.98

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Solution

The fourth proportional to 673.67, 929.71 and 378.98 is: 523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.67 : 929.71 = 378.98 : x
  2. Step 2: Convert to fraction form
    673.67/929.71 = 378.98/x
  3. Step 3: Cross multiply
    673.67x = 929.71 × 378.98
  4. Step 4: Simplify right side
    673.67x = 352,340.81
  5. Step 5: Solve for x
    x = 352,340.81/673.67
  6. Step 6: Final answer
    x = 523.02

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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.