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Finding the Fourth Proportional to 412.17, 615.24 and 382.13

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Solution

The fourth proportional to 412.17, 615.24 and 382.13 is: 570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.17 : 615.24 = 382.13 : x
  2. Step 2: Convert to fraction form
    412.17/615.24 = 382.13/x
  3. Step 3: Cross multiply
    412.17x = 615.24 × 382.13
  4. Step 4: Simplify right side
    412.17x = 235,098.59
  5. Step 5: Solve for x
    x = 235,098.59/412.17
  6. Step 6: Final answer
    x = 570.39

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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.