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Finding the Fourth Proportional to 547.42, 816.51 and 459.73

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Solution

The fourth proportional to 547.42, 816.51 and 459.73 is: 685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.42 : 816.51 = 459.73 : x
  2. Step 2: Convert to fraction form
    547.42/816.51 = 459.73/x
  3. Step 3: Cross multiply
    547.42x = 816.51 × 459.73
  4. Step 4: Simplify right side
    547.42x = 375,374.14
  5. Step 5: Solve for x
    x = 375,374.14/547.42
  6. Step 6: Final answer
    x = 685.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.