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Finding the Fourth Proportional to 414.77, 620.53 and 277.16

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Solution

The fourth proportional to 414.77, 620.53 and 277.16 is: 414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.77 : 620.53 = 277.16 : x
  2. Step 2: Convert to fraction form
    414.77/620.53 = 277.16/x
  3. Step 3: Cross multiply
    414.77x = 620.53 × 277.16
  4. Step 4: Simplify right side
    414.77x = 171,982.30
  5. Step 5: Solve for x
    x = 171,982.30/414.77
  6. Step 6: Final answer
    x = 414.65

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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.