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Finding the Fourth Proportional to 547.34, 755.16 and 494.71

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Solution

The fourth proportional to 547.34, 755.16 and 494.71 is: 682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.34 : 755.16 = 494.71 : x
  2. Step 2: Convert to fraction form
    547.34/755.16 = 494.71/x
  3. Step 3: Cross multiply
    547.34x = 755.16 × 494.71
  4. Step 4: Simplify right side
    547.34x = 373,585.71
  5. Step 5: Solve for x
    x = 373,585.71/547.34
  6. Step 6: Final answer
    x = 682.55

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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.