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Finding the Fourth Proportional to 547.20, 755.14 and 314.28

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Solution

The fourth proportional to 547.20, 755.14 and 314.28 is: 433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.20 : 755.14 = 314.28 : x
  2. Step 2: Convert to fraction form
    547.20/755.14 = 314.28/x
  3. Step 3: Cross multiply
    547.20x = 755.14 × 314.28
  4. Step 4: Simplify right side
    547.20x = 237,325.40
  5. Step 5: Solve for x
    x = 237,325.40/547.20
  6. Step 6: Final answer
    x = 433.71

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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.