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Finding the Fourth Proportional to 412.12, 621.17 and 389.85

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Solution

The fourth proportional to 412.12, 621.17 and 389.85 is: 587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.12 : 621.17 = 389.85 : x
  2. Step 2: Convert to fraction form
    412.12/621.17 = 389.85/x
  3. Step 3: Cross multiply
    412.12x = 621.17 × 389.85
  4. Step 4: Simplify right side
    412.12x = 242,160.31
  5. Step 5: Solve for x
    x = 242,160.31/412.12
  6. Step 6: Final answer
    x = 587.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.