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Finding the Fourth Proportional to 673.47, 1,009.80 and 326.12

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Solution

The fourth proportional to 673.47, 1,009.80 and 326.12 is: 488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.47 : 1,009.80 = 326.12 : x
  2. Step 2: Convert to fraction form
    673.47/1,009.80 = 326.12/x
  3. Step 3: Cross multiply
    673.47x = 1,009.80 × 326.12
  4. Step 4: Simplify right side
    673.47x = 329,310.93
  5. Step 5: Solve for x
    x = 329,310.93/673.47
  6. Step 6: Final answer
    x = 488.98

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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.