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Finding the Fourth Proportional to 1,107.82, 1,528.70 and 635.70

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Solution

The fourth proportional to 1,107.82, 1,528.70 and 635.70 is: 877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.82 : 1,528.70 = 635.70 : x
  2. Step 2: Convert to fraction form
    1,107.82/1,528.70 = 635.70/x
  3. Step 3: Cross multiply
    1,107.82x = 1,528.70 × 635.70
  4. Step 4: Simplify right side
    1,107.82x = 971,794.59
  5. Step 5: Solve for x
    x = 971,794.59/1,107.82
  6. Step 6: Final answer
    x = 877.21

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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.