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Finding the Fourth Proportional to 1,654.90, 2,480.10 and 833.74

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Solution

The fourth proportional to 1,654.90, 2,480.10 and 833.74 is: 1,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.90 : 2,480.10 = 833.74 : x
  2. Step 2: Convert to fraction form
    1,654.90/2,480.10 = 833.74/x
  3. Step 3: Cross multiply
    1,654.90x = 2,480.10 × 833.74
  4. Step 4: Simplify right side
    1,654.90x = 2,067,758.57
  5. Step 5: Solve for x
    x = 2,067,758.57/1,654.90
  6. Step 6: Final answer
    x = 1,249.48

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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.