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Finding the Fourth Proportional to 673.38, 1,009.57 and 256.85

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Solution

The fourth proportional to 673.38, 1,009.57 and 256.85 is: 385.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.38 : 1,009.57 = 256.85 : x
  2. Step 2: Convert to fraction form
    673.38/1,009.57 = 256.85/x
  3. Step 3: Cross multiply
    673.38x = 1,009.57 × 256.85
  4. Step 4: Simplify right side
    673.38x = 259,308.05
  5. Step 5: Solve for x
    x = 259,308.05/673.38
  6. Step 6: Final answer
    x = 385.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.