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Finding the Fourth Proportional to 1,107.90, 1,528.65 and 641.88

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Solution

The fourth proportional to 1,107.90, 1,528.65 and 641.88 is: 885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.90 : 1,528.65 = 641.88 : x
  2. Step 2: Convert to fraction form
    1,107.90/1,528.65 = 641.88/x
  3. Step 3: Cross multiply
    1,107.90x = 1,528.65 × 641.88
  4. Step 4: Simplify right side
    1,107.90x = 981,209.86
  5. Step 5: Solve for x
    x = 981,209.86/1,107.90
  6. Step 6: Final answer
    x = 885.65

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