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Finding the Fourth Proportional to 1,789.64, 2,684.24 and 491.21

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Solution

The fourth proportional to 1,789.64, 2,684.24 and 491.21 is: 736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.64 : 2,684.24 = 491.21 : x
  2. Step 2: Convert to fraction form
    1,789.64/2,684.24 = 491.21/x
  3. Step 3: Cross multiply
    1,789.64x = 2,684.24 × 491.21
  4. Step 4: Simplify right side
    1,789.64x = 1,318,509.65
  5. Step 5: Solve for x
    x = 1,318,509.65/1,789.64
  6. Step 6: Final answer
    x = 736.75

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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.