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Finding the Fourth Proportional to 547.65, 758.81 and 535.97

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Solution

The fourth proportional to 547.65, 758.81 and 535.97 is: 742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.65 : 758.81 = 535.97 : x
  2. Step 2: Convert to fraction form
    547.65/758.81 = 535.97/x
  3. Step 3: Cross multiply
    547.65x = 758.81 × 535.97
  4. Step 4: Simplify right side
    547.65x = 406,692.92
  5. Step 5: Solve for x
    x = 406,692.92/547.65
  6. Step 6: Final answer
    x = 742.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.