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Finding the Fourth Proportional to 728.73, 1,094.19 and 627.12

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Solution

The fourth proportional to 728.73, 1,094.19 and 627.12 is: 941.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.73 : 1,094.19 = 627.12 : x
  2. Step 2: Convert to fraction form
    728.73/1,094.19 = 627.12/x
  3. Step 3: Cross multiply
    728.73x = 1,094.19 × 627.12
  4. Step 4: Simplify right side
    728.73x = 686,188.43
  5. Step 5: Solve for x
    x = 686,188.43/728.73
  6. Step 6: Final answer
    x = 941.62

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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.