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Finding the Fourth Proportional to 1,646.07, 2,469.12 and 491.82

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Solution

The fourth proportional to 1,646.07, 2,469.12 and 491.82 is: 737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.07 : 2,469.12 = 491.82 : x
  2. Step 2: Convert to fraction form
    1,646.07/2,469.12 = 491.82/x
  3. Step 3: Cross multiply
    1,646.07x = 2,469.12 × 491.82
  4. Step 4: Simplify right side
    1,646.07x = 1,214,362.60
  5. Step 5: Solve for x
    x = 1,214,362.60/1,646.07
  6. Step 6: Final answer
    x = 737.73

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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.