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Finding the Fourth Proportional to 452.12, 628.02 and 439.16

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Solution

The fourth proportional to 452.12, 628.02 and 439.16 is: 610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.12 : 628.02 = 439.16 : x
  2. Step 2: Convert to fraction form
    452.12/628.02 = 439.16/x
  3. Step 3: Cross multiply
    452.12x = 628.02 × 439.16
  4. Step 4: Simplify right side
    452.12x = 275,798.12
  5. Step 5: Solve for x
    x = 275,798.12/452.12
  6. Step 6: Final answer
    x = 610.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.