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Finding the Fourth Proportional to 538.56, 807.08 and 416.25

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Solution

The fourth proportional to 538.56, 807.08 and 416.25 is: 623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.56 : 807.08 = 416.25 : x
  2. Step 2: Convert to fraction form
    538.56/807.08 = 416.25/x
  3. Step 3: Cross multiply
    538.56x = 807.08 × 416.25
  4. Step 4: Simplify right side
    538.56x = 335,944.97
  5. Step 5: Solve for x
    x = 335,944.97/538.56
  6. Step 6: Final answer
    x = 623.78

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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.