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Finding the Fourth Proportional to 716.36, 1,073.04 and 427.64

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Solution

The fourth proportional to 716.36, 1,073.04 and 427.64 is: 640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.36 : 1,073.04 = 427.64 : x
  2. Step 2: Convert to fraction form
    716.36/1,073.04 = 427.64/x
  3. Step 3: Cross multiply
    716.36x = 1,073.04 × 427.64
  4. Step 4: Simplify right side
    716.36x = 458,874.83
  5. Step 5: Solve for x
    x = 458,874.83/716.36
  6. Step 6: Final answer
    x = 640.56

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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.