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Finding the Fourth Proportional to 559.98, 771.19 and 547.85

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Solution

The fourth proportional to 559.98, 771.19 and 547.85 is: 754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.98 : 771.19 = 547.85 : x
  2. Step 2: Convert to fraction form
    559.98/771.19 = 547.85/x
  3. Step 3: Cross multiply
    559.98x = 771.19 × 547.85
  4. Step 4: Simplify right side
    559.98x = 422,497.00
  5. Step 5: Solve for x
    x = 422,497.00/559.98
  6. Step 6: Final answer
    x = 754.49

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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.