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Finding the Fourth Proportional to 1,785.11, 2,677.65 and 486.58

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Solution

The fourth proportional to 1,785.11, 2,677.65 and 486.58 is: 729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.11 : 2,677.65 = 486.58 : x
  2. Step 2: Convert to fraction form
    1,785.11/2,677.65 = 486.58/x
  3. Step 3: Cross multiply
    1,785.11x = 2,677.65 × 486.58
  4. Step 4: Simplify right side
    1,785.11x = 1,302,890.94
  5. Step 5: Solve for x
    x = 1,302,890.94/1,785.11
  6. Step 6: Final answer
    x = 729.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.