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Finding the Fourth Proportional to 1,317, 1,817.28 and 727.50

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Solution

The fourth proportional to 1,317, 1,817.28 and 727.50 is: 1,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317 : 1,817.28 = 727.50 : x
  2. Step 2: Convert to fraction form
    1,317/1,817.28 = 727.50/x
  3. Step 3: Cross multiply
    1,317x = 1,817.28 × 727.50
  4. Step 4: Simplify right side
    1,317x = 1,322,071.20
  5. Step 5: Solve for x
    x = 1,322,071.20/1,317
  6. Step 6: Final answer
    x = 1,003.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.