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Finding the Fourth Proportional to 1,103.20, 1,646 and 959.20

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Solution

The fourth proportional to 1,103.20, 1,646 and 959.20 is: 1,431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.20 : 1,646 = 959.20 : x
  2. Step 2: Convert to fraction form
    1,103.20/1,646 = 959.20/x
  3. Step 3: Cross multiply
    1,103.20x = 1,646 × 959.20
  4. Step 4: Simplify right side
    1,103.20x = 1,578,843.20
  5. Step 5: Solve for x
    x = 1,578,843.20/1,103.20
  6. Step 6: Final answer
    x = 1,431.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.