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Finding the Fourth Proportional to 547.32, 758.82 and 514.20

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Solution

The fourth proportional to 547.32, 758.82 and 514.20 is: 712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.32 : 758.82 = 514.20 : x
  2. Step 2: Convert to fraction form
    547.32/758.82 = 514.20/x
  3. Step 3: Cross multiply
    547.32x = 758.82 × 514.20
  4. Step 4: Simplify right side
    547.32x = 390,185.24
  5. Step 5: Solve for x
    x = 390,185.24/547.32
  6. Step 6: Final answer
    x = 712.90

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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.