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Finding the Fourth Proportional to 412.52, 615.82 and 385.22

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Solution

The fourth proportional to 412.52, 615.82 and 385.22 is: 575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.52 : 615.82 = 385.22 : x
  2. Step 2: Convert to fraction form
    412.52/615.82 = 385.22/x
  3. Step 3: Cross multiply
    412.52x = 615.82 × 385.22
  4. Step 4: Simplify right side
    412.52x = 237,226.18
  5. Step 5: Solve for x
    x = 237,226.18/412.52
  6. Step 6: Final answer
    x = 575.07

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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.