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Finding the Fourth Proportional to 1,121, 1,546.64 and 648.91

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Solution

The fourth proportional to 1,121, 1,546.64 and 648.91 is: 895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121 : 1,546.64 = 648.91 : x
  2. Step 2: Convert to fraction form
    1,121/1,546.64 = 648.91/x
  3. Step 3: Cross multiply
    1,121x = 1,546.64 × 648.91
  4. Step 4: Simplify right side
    1,121x = 1,003,622.43
  5. Step 5: Solve for x
    x = 1,003,622.43/1,121
  6. Step 6: Final answer
    x = 895.29

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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.