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Finding the Fourth Proportional to 566.82, 777.63 and 539.28

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Solution

The fourth proportional to 566.82, 777.63 and 539.28 is: 739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.82 : 777.63 = 539.28 : x
  2. Step 2: Convert to fraction form
    566.82/777.63 = 539.28/x
  3. Step 3: Cross multiply
    566.82x = 777.63 × 539.28
  4. Step 4: Simplify right side
    566.82x = 419,360.31
  5. Step 5: Solve for x
    x = 419,360.31/566.82
  6. Step 6: Final answer
    x = 739.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.