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Finding the Fourth Proportional to 412.14, 615.26 and 382.14

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Solution

The fourth proportional to 412.14, 615.26 and 382.14 is: 570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.14 : 615.26 = 382.14 : x
  2. Step 2: Convert to fraction form
    412.14/615.26 = 382.14/x
  3. Step 3: Cross multiply
    412.14x = 615.26 × 382.14
  4. Step 4: Simplify right side
    412.14x = 235,115.46
  5. Step 5: Solve for x
    x = 235,115.46/412.14
  6. Step 6: Final answer
    x = 570.47

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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.