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Finding the Fourth Proportional to 673.76, 1,009.29 and 308.05

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Solution

The fourth proportional to 673.76, 1,009.29 and 308.05 is: 461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.76 : 1,009.29 = 308.05 : x
  2. Step 2: Convert to fraction form
    673.76/1,009.29 = 308.05/x
  3. Step 3: Cross multiply
    673.76x = 1,009.29 × 308.05
  4. Step 4: Simplify right side
    673.76x = 310,906.74
  5. Step 5: Solve for x
    x = 310,906.74/673.76
  6. Step 6: Final answer
    x = 461.45

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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.