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Finding the Fourth Proportional to 1,784.70, 2,675.97 and 811.62

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Solution

The fourth proportional to 1,784.70, 2,675.97 and 811.62 is: 1,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.70 : 2,675.97 = 811.62 : x
  2. Step 2: Convert to fraction form
    1,784.70/2,675.97 = 811.62/x
  3. Step 3: Cross multiply
    1,784.70x = 2,675.97 × 811.62
  4. Step 4: Simplify right side
    1,784.70x = 2,171,870.77
  5. Step 5: Solve for x
    x = 2,171,870.77/1,784.70
  6. Step 6: Final answer
    x = 1,216.94

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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.