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Finding the Fourth Proportional to 716.78, 1,074.64 and 485.09

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Solution

The fourth proportional to 716.78, 1,074.64 and 485.09 is: 727.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.78 : 1,074.64 = 485.09 : x
  2. Step 2: Convert to fraction form
    716.78/1,074.64 = 485.09/x
  3. Step 3: Cross multiply
    716.78x = 1,074.64 × 485.09
  4. Step 4: Simplify right side
    716.78x = 521,297.12
  5. Step 5: Solve for x
    x = 521,297.12/716.78
  6. Step 6: Final answer
    x = 727.28

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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.