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Finding the Fourth Proportional to 1,788.42, 2,682.94 and 555.74

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Solution

The fourth proportional to 1,788.42, 2,682.94 and 555.74 is: 833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.42 : 2,682.94 = 555.74 : x
  2. Step 2: Convert to fraction form
    1,788.42/2,682.94 = 555.74/x
  3. Step 3: Cross multiply
    1,788.42x = 2,682.94 × 555.74
  4. Step 4: Simplify right side
    1,788.42x = 1,491,017.08
  5. Step 5: Solve for x
    x = 1,491,017.08/1,788.42
  6. Step 6: Final answer
    x = 833.71

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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.