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Finding the Fourth Proportional to 1,101.90, 1,520.38 and 635.88

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Solution

The fourth proportional to 1,101.90, 1,520.38 and 635.88 is: 877.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.90 : 1,520.38 = 635.88 : x
  2. Step 2: Convert to fraction form
    1,101.90/1,520.38 = 635.88/x
  3. Step 3: Cross multiply
    1,101.90x = 1,520.38 × 635.88
  4. Step 4: Simplify right side
    1,101.90x = 966,768.45
  5. Step 5: Solve for x
    x = 966,768.45/1,101.90
  6. Step 6: Final answer
    x = 877.37

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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.