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Finding the Fourth Proportional to 1,640.75, 2,461.53 and 486.50

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Solution

The fourth proportional to 1,640.75, 2,461.53 and 486.50 is: 729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.75 : 2,461.53 = 486.50 : x
  2. Step 2: Convert to fraction form
    1,640.75/2,461.53 = 486.50/x
  3. Step 3: Cross multiply
    1,640.75x = 2,461.53 × 486.50
  4. Step 4: Simplify right side
    1,640.75x = 1,197,534.35
  5. Step 5: Solve for x
    x = 1,197,534.35/1,640.75
  6. Step 6: Final answer
    x = 729.87

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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.