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Finding the Fourth Proportional to 1,517.25, 2,275.91 and 491.25

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Solution

The fourth proportional to 1,517.25, 2,275.91 and 491.25 is: 736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.25 : 2,275.91 = 491.25 : x
  2. Step 2: Convert to fraction form
    1,517.25/2,275.91 = 491.25/x
  3. Step 3: Cross multiply
    1,517.25x = 2,275.91 × 491.25
  4. Step 4: Simplify right side
    1,517.25x = 1,118,038.33
  5. Step 5: Solve for x
    x = 1,118,038.33/1,517.25
  6. Step 6: Final answer
    x = 736.88

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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.