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Finding the Fourth Proportional to 1,640.82, 2,461.64 and 486.57

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Solution

The fourth proportional to 1,640.82, 2,461.64 and 486.57 is: 729.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.82 : 2,461.64 = 486.57 : x
  2. Step 2: Convert to fraction form
    1,640.82/2,461.64 = 486.57/x
  3. Step 3: Cross multiply
    1,640.82x = 2,461.64 × 486.57
  4. Step 4: Simplify right side
    1,640.82x = 1,197,757.74
  5. Step 5: Solve for x
    x = 1,197,757.74/1,640.82
  6. Step 6: Final answer
    x = 729.98

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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.