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Finding the Fourth Proportional to 539.00, 807.74 and 264.81

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Solution

The fourth proportional to 539.00, 807.74 and 264.81 is: 396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.00 : 807.74 = 264.81 : x
  2. Step 2: Convert to fraction form
    539.00/807.74 = 264.81/x
  3. Step 3: Cross multiply
    539.00x = 807.74 × 264.81
  4. Step 4: Simplify right side
    539.00x = 213,896.31
  5. Step 5: Solve for x
    x = 213,896.31/539.00
  6. Step 6: Final answer
    x = 396.84

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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.