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Finding the Fourth Proportional to 716.60, 1,074.96 and 305.75

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Solution

The fourth proportional to 716.60, 1,074.96 and 305.75 is: 458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.60 : 1,074.96 = 305.75 : x
  2. Step 2: Convert to fraction form
    716.60/1,074.96 = 305.75/x
  3. Step 3: Cross multiply
    716.60x = 1,074.96 × 305.75
  4. Step 4: Simplify right side
    716.60x = 328,662.88
  5. Step 5: Solve for x
    x = 328,662.88/716.60
  6. Step 6: Final answer
    x = 458.64

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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.