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Finding the Fourth Proportional to 1,205.97, 1,664.25 and 674.90

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Solution

The fourth proportional to 1,205.97, 1,664.25 and 674.90 is: 931.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.97 : 1,664.25 = 674.90 : x
  2. Step 2: Convert to fraction form
    1,205.97/1,664.25 = 674.90/x
  3. Step 3: Cross multiply
    1,205.97x = 1,664.25 × 674.90
  4. Step 4: Simplify right side
    1,205.97x = 1,123,197.71
  5. Step 5: Solve for x
    x = 1,123,197.71/1,205.97
  6. Step 6: Final answer
    x = 931.36

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1.5x scale

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.