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Finding the Fourth Proportional to 792.72, 1,094.44 and 627.60

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Solution

The fourth proportional to 792.72, 1,094.44 and 627.60 is: 866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.72 : 1,094.44 = 627.60 : x
  2. Step 2: Convert to fraction form
    792.72/1,094.44 = 627.60/x
  3. Step 3: Cross multiply
    792.72x = 1,094.44 × 627.60
  4. Step 4: Simplify right side
    792.72x = 686,870.54
  5. Step 5: Solve for x
    x = 686,870.54/792.72
  6. Step 6: Final answer
    x = 866.47

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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.