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Finding the Fourth Proportional to 1,101.07, 1,519.48 and 635.32

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Solution

The fourth proportional to 1,101.07, 1,519.48 and 635.32 is: 876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.07 : 1,519.48 = 635.32 : x
  2. Step 2: Convert to fraction form
    1,101.07/1,519.48 = 635.32/x
  3. Step 3: Cross multiply
    1,101.07x = 1,519.48 × 635.32
  4. Step 4: Simplify right side
    1,101.07x = 965,356.03
  5. Step 5: Solve for x
    x = 965,356.03/1,101.07
  6. Step 6: Final answer
    x = 876.74

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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.