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Finding the Fourth Proportional to 1,107.64, 1,528.50 and 641.89

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Solution

The fourth proportional to 1,107.64, 1,528.50 and 641.89 is: 885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.64 : 1,528.50 = 641.89 : x
  2. Step 2: Convert to fraction form
    1,107.64/1,528.50 = 641.89/x
  3. Step 3: Cross multiply
    1,107.64x = 1,528.50 × 641.89
  4. Step 4: Simplify right side
    1,107.64x = 981,128.87
  5. Step 5: Solve for x
    x = 981,128.87/1,107.64
  6. Step 6: Final answer
    x = 885.78

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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.