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Finding the Fourth Proportional to 455.64, 680.56 and 412.24

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Solution

The fourth proportional to 455.64, 680.56 and 412.24 is: 615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.64 : 680.56 = 412.24 : x
  2. Step 2: Convert to fraction form
    455.64/680.56 = 412.24/x
  3. Step 3: Cross multiply
    455.64x = 680.56 × 412.24
  4. Step 4: Simplify right side
    455.64x = 280,554.05
  5. Step 5: Solve for x
    x = 280,554.05/455.64
  6. Step 6: Final answer
    x = 615.74

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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.