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Finding the Fourth Proportional to 1,640.83, 2,460.83 and 486.31

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Solution

The fourth proportional to 1,640.83, 2,460.83 and 486.31 is: 729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.83 : 2,460.83 = 486.31 : x
  2. Step 2: Convert to fraction form
    1,640.83/2,460.83 = 486.31/x
  3. Step 3: Cross multiply
    1,640.83x = 2,460.83 × 486.31
  4. Step 4: Simplify right side
    1,640.83x = 1,196,723.81
  5. Step 5: Solve for x
    x = 1,196,723.81/1,640.83
  6. Step 6: Final answer
    x = 729.34

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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.