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Finding the Fourth Proportional to 412.77, 619.77 and 169.77

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Solution

The fourth proportional to 412.77, 619.77 and 169.77 is: 254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.77 : 619.77 = 169.77 : x
  2. Step 2: Convert to fraction form
    412.77/619.77 = 169.77/x
  3. Step 3: Cross multiply
    412.77x = 619.77 × 169.77
  4. Step 4: Simplify right side
    412.77x = 105,218.35
  5. Step 5: Solve for x
    x = 105,218.35/412.77
  6. Step 6: Final answer
    x = 254.91

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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.