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Finding the Fourth Proportional to 1,646.25, 2,469.78 and 492

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Solution

The fourth proportional to 1,646.25, 2,469.78 and 492 is: 738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.25 : 2,469.78 = 492 : x
  2. Step 2: Convert to fraction form
    1,646.25/2,469.78 = 492/x
  3. Step 3: Cross multiply
    1,646.25x = 2,469.78 × 492
  4. Step 4: Simplify right side
    1,646.25x = 1,215,131.76
  5. Step 5: Solve for x
    x = 1,215,131.76/1,646.25
  6. Step 6: Final answer
    x = 738.12

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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.