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Finding the Fourth Proportional to 547.64, 758.87 and 540.96

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Solution

The fourth proportional to 547.64, 758.87 and 540.96 is: 749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.64 : 758.87 = 540.96 : x
  2. Step 2: Convert to fraction form
    547.64/758.87 = 540.96/x
  3. Step 3: Cross multiply
    547.64x = 758.87 × 540.96
  4. Step 4: Simplify right side
    547.64x = 410,518.32
  5. Step 5: Solve for x
    x = 410,518.32/547.64
  6. Step 6: Final answer
    x = 749.61

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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.