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Finding the Fourth Proportional to 1,784.90, 2,677.44 and 811.08

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Solution

The fourth proportional to 1,784.90, 2,677.44 and 811.08 is: 1,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.90 : 2,677.44 = 811.08 : x
  2. Step 2: Convert to fraction form
    1,784.90/2,677.44 = 811.08/x
  3. Step 3: Cross multiply
    1,784.90x = 2,677.44 × 811.08
  4. Step 4: Simplify right side
    1,784.90x = 2,171,618.04
  5. Step 5: Solve for x
    x = 2,171,618.04/1,784.90
  6. Step 6: Final answer
    x = 1,216.66

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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.