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Finding the Fourth Proportional to 673.51, 1,009.87 and 308.10

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Solution

The fourth proportional to 673.51, 1,009.87 and 308.10 is: 461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.51 : 1,009.87 = 308.10 : x
  2. Step 2: Convert to fraction form
    673.51/1,009.87 = 308.10/x
  3. Step 3: Cross multiply
    673.51x = 1,009.87 × 308.10
  4. Step 4: Simplify right side
    673.51x = 311,139.41
  5. Step 5: Solve for x
    x = 311,139.41/673.51
  6. Step 6: Final answer
    x = 461.97

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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.