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Finding the Fourth Proportional to 412.77, 620.13 and 345.77

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Solution

The fourth proportional to 412.77, 620.13 and 345.77 is: 519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.77 : 620.13 = 345.77 : x
  2. Step 2: Convert to fraction form
    412.77/620.13 = 345.77/x
  3. Step 3: Cross multiply
    412.77x = 620.13 × 345.77
  4. Step 4: Simplify right side
    412.77x = 214,422.35
  5. Step 5: Solve for x
    x = 214,422.35/412.77
  6. Step 6: Final answer
    x = 519.47

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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.