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Finding the Fourth Proportional to 412.18, 619.35 and 405.70

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Solution

The fourth proportional to 412.18, 619.35 and 405.70 is: 609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.18 : 619.35 = 405.70 : x
  2. Step 2: Convert to fraction form
    412.18/619.35 = 405.70/x
  3. Step 3: Cross multiply
    412.18x = 619.35 × 405.70
  4. Step 4: Simplify right side
    412.18x = 251,270.30
  5. Step 5: Solve for x
    x = 251,270.30/412.18
  6. Step 6: Final answer
    x = 609.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.