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Finding the Fourth Proportional to 412.62, 615.44 and 351.06

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Solution

The fourth proportional to 412.62, 615.44 and 351.06 is: 523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.62 : 615.44 = 351.06 : x
  2. Step 2: Convert to fraction form
    412.62/615.44 = 351.06/x
  3. Step 3: Cross multiply
    412.62x = 615.44 × 351.06
  4. Step 4: Simplify right side
    412.62x = 216,054.94
  5. Step 5: Solve for x
    x = 216,054.94/412.62
  6. Step 6: Final answer
    x = 523.62

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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.