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Finding the Fourth Proportional to 673.39, 1,010.09 and 308.08

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Solution

The fourth proportional to 673.39, 1,010.09 and 308.08 is: 462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.39 : 1,010.09 = 308.08 : x
  2. Step 2: Convert to fraction form
    673.39/1,010.09 = 308.08/x
  3. Step 3: Cross multiply
    673.39x = 1,010.09 × 308.08
  4. Step 4: Simplify right side
    673.39x = 311,188.53
  5. Step 5: Solve for x
    x = 311,188.53/673.39
  6. Step 6: Final answer
    x = 462.12

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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.