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Finding the Fourth Proportional to 456.02, 680.08 and 412.28

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Solution

The fourth proportional to 456.02, 680.08 and 412.28 is: 614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.02 : 680.08 = 412.28 : x
  2. Step 2: Convert to fraction form
    456.02/680.08 = 412.28/x
  3. Step 3: Cross multiply
    456.02x = 680.08 × 412.28
  4. Step 4: Simplify right side
    456.02x = 280,383.38
  5. Step 5: Solve for x
    x = 280,383.38/456.02
  6. Step 6: Final answer
    x = 614.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.