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Finding the Fourth Proportional to 620.06, 855.77 and 407.56

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Solution

The fourth proportional to 620.06, 855.77 and 407.56 is: 562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.06 : 855.77 = 407.56 : x
  2. Step 2: Convert to fraction form
    620.06/855.77 = 407.56/x
  3. Step 3: Cross multiply
    620.06x = 855.77 × 407.56
  4. Step 4: Simplify right side
    620.06x = 348,777.62
  5. Step 5: Solve for x
    x = 348,777.62/620.06
  6. Step 6: Final answer
    x = 562.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.