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Finding the Fourth Proportional to 673.64, 1,009.68 and 308.47

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Solution

The fourth proportional to 673.64, 1,009.68 and 308.47 is: 462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.64 : 1,009.68 = 308.47 : x
  2. Step 2: Convert to fraction form
    673.64/1,009.68 = 308.47/x
  3. Step 3: Cross multiply
    673.64x = 1,009.68 × 308.47
  4. Step 4: Simplify right side
    673.64x = 311,450.94
  5. Step 5: Solve for x
    x = 311,450.94/673.64
  6. Step 6: Final answer
    x = 462.34

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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.