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Finding the Fourth Proportional to 1,645.84, 2,469.12 and 491.56

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Solution

The fourth proportional to 1,645.84, 2,469.12 and 491.56 is: 737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.84 : 2,469.12 = 491.56 : x
  2. Step 2: Convert to fraction form
    1,645.84/2,469.12 = 491.56/x
  3. Step 3: Cross multiply
    1,645.84x = 2,469.12 × 491.56
  4. Step 4: Simplify right side
    1,645.84x = 1,213,720.63
  5. Step 5: Solve for x
    x = 1,213,720.63/1,645.84
  6. Step 6: Final answer
    x = 737.45

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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.