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Finding the Fourth Proportional to 886.06, 1,223.67 and 664.66

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Solution

The fourth proportional to 886.06, 1,223.67 and 664.66 is: 917.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.06 : 1,223.67 = 664.66 : x
  2. Step 2: Convert to fraction form
    886.06/1,223.67 = 664.66/x
  3. Step 3: Cross multiply
    886.06x = 1,223.67 × 664.66
  4. Step 4: Simplify right side
    886.06x = 813,324.50
  5. Step 5: Solve for x
    x = 813,324.50/886.06
  6. Step 6: Final answer
    x = 917.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.