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Finding the Fourth Proportional to 673.61, 1,009.97 and 326.26

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Solution

The fourth proportional to 673.61, 1,009.97 and 326.26 is: 489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.61 : 1,009.97 = 326.26 : x
  2. Step 2: Convert to fraction form
    673.61/1,009.97 = 326.26/x
  3. Step 3: Cross multiply
    673.61x = 1,009.97 × 326.26
  4. Step 4: Simplify right side
    673.61x = 329,512.81
  5. Step 5: Solve for x
    x = 329,512.81/673.61
  6. Step 6: Final answer
    x = 489.17

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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.