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Finding the Fourth Proportional to 727.20, 1,004.16 and 580.50

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Solution

The fourth proportional to 727.20, 1,004.16 and 580.50 is: 801.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.20 : 1,004.16 = 580.50 : x
  2. Step 2: Convert to fraction form
    727.20/1,004.16 = 580.50/x
  3. Step 3: Cross multiply
    727.20x = 1,004.16 × 580.50
  4. Step 4: Simplify right side
    727.20x = 582,914.88
  5. Step 5: Solve for x
    x = 582,914.88/727.20
  6. Step 6: Final answer
    x = 801.59

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