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Finding the Fourth Proportional to 716.53, 1,074.75 and 427.75

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Solution

The fourth proportional to 716.53, 1,074.75 and 427.75 is: 641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.53 : 1,074.75 = 427.75 : x
  2. Step 2: Convert to fraction form
    716.53/1,074.75 = 427.75/x
  3. Step 3: Cross multiply
    716.53x = 1,074.75 × 427.75
  4. Step 4: Simplify right side
    716.53x = 459,724.31
  5. Step 5: Solve for x
    x = 459,724.31/716.53
  6. Step 6: Final answer
    x = 641.60

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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.