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Finding the Fourth Proportional to 1,106.73, 1,660.84 and 457.46

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Solution

The fourth proportional to 1,106.73, 1,660.84 and 457.46 is: 686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.73 : 1,660.84 = 457.46 : x
  2. Step 2: Convert to fraction form
    1,106.73/1,660.84 = 457.46/x
  3. Step 3: Cross multiply
    1,106.73x = 1,660.84 × 457.46
  4. Step 4: Simplify right side
    1,106.73x = 759,759.56
  5. Step 5: Solve for x
    x = 759,759.56/1,106.73
  6. Step 6: Final answer
    x = 686.49

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1.5x scale

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.