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Finding the Fourth Proportional to 412.34, 621.47 and 408.24

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Solution

The fourth proportional to 412.34, 621.47 and 408.24 is: 615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.34 : 621.47 = 408.24 : x
  2. Step 2: Convert to fraction form
    412.34/621.47 = 408.24/x
  3. Step 3: Cross multiply
    412.34x = 621.47 × 408.24
  4. Step 4: Simplify right side
    412.34x = 253,709.93
  5. Step 5: Solve for x
    x = 253,709.93/412.34
  6. Step 6: Final answer
    x = 615.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.