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Finding the Fourth Proportional to 1,736.97, 2,605.46 and 711.69

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Solution

The fourth proportional to 1,736.97, 2,605.46 and 711.69 is: 1,067.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.97 : 2,605.46 = 711.69 : x
  2. Step 2: Convert to fraction form
    1,736.97/2,605.46 = 711.69/x
  3. Step 3: Cross multiply
    1,736.97x = 2,605.46 × 711.69
  4. Step 4: Simplify right side
    1,736.97x = 1,854,276.27
  5. Step 5: Solve for x
    x = 1,854,276.27/1,736.97
  6. Step 6: Final answer
    x = 1,067.54

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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.