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Finding the Fourth Proportional to 559.75, 770.88 and 547.64

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Solution

The fourth proportional to 559.75, 770.88 and 547.64 is: 754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.75 : 770.88 = 547.64 : x
  2. Step 2: Convert to fraction form
    559.75/770.88 = 547.64/x
  3. Step 3: Cross multiply
    559.75x = 770.88 × 547.64
  4. Step 4: Simplify right side
    559.75x = 422,164.72
  5. Step 5: Solve for x
    x = 422,164.72/559.75
  6. Step 6: Final answer
    x = 754.20

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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.