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Finding the Fourth Proportional to 673.18, 1,009.42 and 307.73

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Solution

The fourth proportional to 673.18, 1,009.42 and 307.73 is: 461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.18 : 1,009.42 = 307.73 : x
  2. Step 2: Convert to fraction form
    673.18/1,009.42 = 307.73/x
  3. Step 3: Cross multiply
    673.18x = 1,009.42 × 307.73
  4. Step 4: Simplify right side
    673.18x = 310,630.57
  5. Step 5: Solve for x
    x = 310,630.57/673.18
  6. Step 6: Final answer
    x = 461.44

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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.