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Finding the Fourth Proportional to 884.86, 1,222.29 and 665.46

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Solution

The fourth proportional to 884.86, 1,222.29 and 665.46 is: 919.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.86 : 1,222.29 = 665.46 : x
  2. Step 2: Convert to fraction form
    884.86/1,222.29 = 665.46/x
  3. Step 3: Cross multiply
    884.86x = 1,222.29 × 665.46
  4. Step 4: Simplify right side
    884.86x = 813,385.10
  5. Step 5: Solve for x
    x = 813,385.10/884.86
  6. Step 6: Final answer
    x = 919.22

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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.