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Finding the Fourth Proportional to 412.71, 619.05 and 104.55

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Solution

The fourth proportional to 412.71, 619.05 and 104.55 is: 156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.71 : 619.05 = 104.55 : x
  2. Step 2: Convert to fraction form
    412.71/619.05 = 104.55/x
  3. Step 3: Cross multiply
    412.71x = 619.05 × 104.55
  4. Step 4: Simplify right side
    412.71x = 64,721.68
  5. Step 5: Solve for x
    x = 64,721.68/412.71
  6. Step 6: Final answer
    x = 156.82

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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.