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Finding the Fourth Proportional to 1,640.73, 2,265.29 and 1,197.86

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Solution

The fourth proportional to 1,640.73, 2,265.29 and 1,197.86 is: 1,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.73 : 2,265.29 = 1,197.86 : x
  2. Step 2: Convert to fraction form
    1,640.73/2,265.29 = 1,197.86/x
  3. Step 3: Cross multiply
    1,640.73x = 2,265.29 × 1,197.86
  4. Step 4: Simplify right side
    1,640.73x = 2,713,482.96
  5. Step 5: Solve for x
    x = 2,713,482.96/1,640.73
  6. Step 6: Final answer
    x = 1,653.83

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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.