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Finding the Fourth Proportional to 1,785.22, 2,677.35 and 486.38

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Solution

The fourth proportional to 1,785.22, 2,677.35 and 486.38 is: 729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.22 : 2,677.35 = 486.38 : x
  2. Step 2: Convert to fraction form
    1,785.22/2,677.35 = 486.38/x
  3. Step 3: Cross multiply
    1,785.22x = 2,677.35 × 486.38
  4. Step 4: Simplify right side
    1,785.22x = 1,302,209.49
  5. Step 5: Solve for x
    x = 1,302,209.49/1,785.22
  6. Step 6: Final answer
    x = 729.44

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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.