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Finding the Fourth Proportional to 1,106.95, 1,660.41 and 644.48

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Solution

The fourth proportional to 1,106.95, 1,660.41 and 644.48 is: 966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.95 : 1,660.41 = 644.48 : x
  2. Step 2: Convert to fraction form
    1,106.95/1,660.41 = 644.48/x
  3. Step 3: Cross multiply
    1,106.95x = 1,660.41 × 644.48
  4. Step 4: Simplify right side
    1,106.95x = 1,070,101.04
  5. Step 5: Solve for x
    x = 1,070,101.04/1,106.95
  6. Step 6: Final answer
    x = 966.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.