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Finding the Fourth Proportional to 438.11, 653.46 and 412.73

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Solution

The fourth proportional to 438.11, 653.46 and 412.73 is: 615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.11 : 653.46 = 412.73 : x
  2. Step 2: Convert to fraction form
    438.11/653.46 = 412.73/x
  3. Step 3: Cross multiply
    438.11x = 653.46 × 412.73
  4. Step 4: Simplify right side
    438.11x = 269,702.55
  5. Step 5: Solve for x
    x = 269,702.55/438.11
  6. Step 6: Final answer
    x = 615.60

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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.