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Finding the Fourth Proportional to 1,723.53, 2,584.91 and 491.07

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Solution

The fourth proportional to 1,723.53, 2,584.91 and 491.07 is: 736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.53 : 2,584.91 = 491.07 : x
  2. Step 2: Convert to fraction form
    1,723.53/2,584.91 = 491.07/x
  3. Step 3: Cross multiply
    1,723.53x = 2,584.91 × 491.07
  4. Step 4: Simplify right side
    1,723.53x = 1,269,371.75
  5. Step 5: Solve for x
    x = 1,269,371.75/1,723.53
  6. Step 6: Final answer
    x = 736.50

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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.