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Finding the Fourth Proportional to 673.21, 1,009.65 and 308.10

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Solution

The fourth proportional to 673.21, 1,009.65 and 308.10 is: 462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.21 : 1,009.65 = 308.10 : x
  2. Step 2: Convert to fraction form
    673.21/1,009.65 = 308.10/x
  3. Step 3: Cross multiply
    673.21x = 1,009.65 × 308.10
  4. Step 4: Simplify right side
    673.21x = 311,073.17
  5. Step 5: Solve for x
    x = 311,073.17/673.21
  6. Step 6: Final answer
    x = 462.08

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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.