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Finding the Fourth Proportional to 909.03, 1,361.50 and 664.81

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Solution

The fourth proportional to 909.03, 1,361.50 and 664.81 is: 995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.03 : 1,361.50 = 664.81 : x
  2. Step 2: Convert to fraction form
    909.03/1,361.50 = 664.81/x
  3. Step 3: Cross multiply
    909.03x = 1,361.50 × 664.81
  4. Step 4: Simplify right side
    909.03x = 905,138.82
  5. Step 5: Solve for x
    x = 905,138.82/909.03
  6. Step 6: Final answer
    x = 995.72

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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.