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Finding the Fourth Proportional to 1,102.62, 1,660.49 and 960.06

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Solution

The fourth proportional to 1,102.62, 1,660.49 and 960.06 is: 1,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.62 : 1,660.49 = 960.06 : x
  2. Step 2: Convert to fraction form
    1,102.62/1,660.49 = 960.06/x
  3. Step 3: Cross multiply
    1,102.62x = 1,660.49 × 960.06
  4. Step 4: Simplify right side
    1,102.62x = 1,594,165.23
  5. Step 5: Solve for x
    x = 1,594,165.23/1,102.62
  6. Step 6: Final answer
    x = 1,445.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.