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Finding the Fourth Proportional to 547.70, 756.14 and 408.58

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Solution

The fourth proportional to 547.70, 756.14 and 408.58 is: 564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.70 : 756.14 = 408.58 : x
  2. Step 2: Convert to fraction form
    547.70/756.14 = 408.58/x
  3. Step 3: Cross multiply
    547.70x = 756.14 × 408.58
  4. Step 4: Simplify right side
    547.70x = 308,939.75
  5. Step 5: Solve for x
    x = 308,939.75/547.70
  6. Step 6: Final answer
    x = 564.07

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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.