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Finding the Fourth Proportional to 547.78, 756.09 and 314.98

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Solution

The fourth proportional to 547.78, 756.09 and 314.98 is: 434.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.78 : 756.09 = 314.98 : x
  2. Step 2: Convert to fraction form
    547.78/756.09 = 314.98/x
  3. Step 3: Cross multiply
    547.78x = 756.09 × 314.98
  4. Step 4: Simplify right side
    547.78x = 238,153.23
  5. Step 5: Solve for x
    x = 238,153.23/547.78
  6. Step 6: Final answer
    x = 434.76

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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.